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Longer titles found: Modular group representation (view), Picard modular group (view), Paramodular group (view)

searching for Modular group 47 found (174 total)

Hilbert modular form (483 words) [view diff] exact match in snippet view article find links to article

{\displaystyle GL_{2}^{+}({\mathcal {O}}_{F})} is called the full Hilbert modular group. For every element z = ( z 1 , … , z m ) ∈ H m {\displaystyle z=(z_{1}

Hilbert modular variety (1,172 words) [view diff] exact match in snippet view article find links to article

quotient of a product of two copies of the upper half-plane by a Hilbert modular group. More generally, a Hilbert modular variety is an algebraic variety obtained

Teichmüller space (4,998 words) [view diff] exact match in snippet view article find links to article

compactification is acted on continuously by the modular group. In particular any element of the modular group has a fixed point in Thurston's compactification

Iwasawa group (432 words) [view diff] exact match in snippet view article find links to article

In mathematics, a group is called an Iwasawa group, M-group or modular group if its lattice of subgroups is modular. Alternatively, a group G is called

Quasinormal subgroup (504 words) [view diff] exact match in snippet view article find links to article

then the group is called an Iwasawa group—sometimes also called a modular group, although this latter term has other meanings. In any group, every quasinormal

Quasidihedral group (623 words) [view diff] exact match in snippet view article find links to article

this group has order 16, Dummit and Foote refer to this group as the "modular group of order 16", as its lattice of subgroups is modular. In this article

Igusa group (173 words) [view diff] exact match in snippet view article find links to article

mathematics, an Igusa group or Igusa subgroup is a subgroup of the Siegel modular group defined by some congruence conditions. They were introduced by Igusa (1964)

Clebsch surface (666 words) [view diff] exact match in snippet view article find links to article

principal congruence subgroup of the Hilbert modular group of the field Q(√5). The quotient of the Hilbert modular group by its level 2 congruence subgroup is

Modular lambda function (3,503 words) [view diff] exact match in snippet view article find links to article

a function on the upper half-plane that is invariant under the full modular group SL 2 ⁡ ( Z ) {\displaystyle \operatorname {SL} _{2}(\mathbb {Z} )}

Ellen Gethner (263 words) [view diff] case mismatch in snippet view article find links to article

University, in 1992; her dissertation, Rational Period Functions For The Modular Group And Related Discrete Groups, was supervised by L. Alayne Parson. She

Semicircle law (quantum Hall effect) (713 words) [view diff] exact match in snippet view article

Theoretically, the semicircle law originates from a representation of the modular group Γ0(2), which describes a symmetry between different Hall phases. (Note

Robert Alexander Rankin (521 words) [view diff] exact match in snippet view article find links to article

introduction to mathematical analysis, Pergamon Press 1963; Dover 2007. The modular group and its subgroups, Madras, Ramanujan Institute, 1969. Modular forms

Hecke algebra (573 words) [view diff] exact match in snippet view article find links to article

Mordell, the space of cusp forms of weight 12 with respect to the full modular group is one-dimensional. It follows that the Ramanujan form has an Euler

Macbeath surface (648 words) [view diff] exact match in snippet view article find links to article

Berlin. pp. 349–353. Wohlfahrt, K. (1985), "Macbeath's curve and the modular group", Glasgow Math. J., 27: 239–247, doi:10.1017/S0017089500006212, MR 0819842

Siegel theta series (177 words) [view diff] exact match in snippet view article find links to article

of the Siegel modular group. If the lattice L is even and unimodular then this is a Siegel modular form for the full Siegel modular group. When the degree

Tits alternative (535 words) [view diff] exact match in snippet view article find links to article

1980/1981. Ivanov, Nikolai (1984). "Algebraic properties of the Teichmüller modular group". Dokl. Akad. Nauk SSSR. 275: 786–789. McCarthy, John (1985). "A "Tits-alternative"

Gamma (1,736 words) [view diff] exact match in snippet view article find links to article

ordinal Γ 0 {\displaystyle \Gamma _{0}} Congruence subgroups of the modular group of other arithmetic groups One of the Greeks in mathematical finance

Maass wave form (8,499 words) [view diff] exact match in snippet view article find links to article

}}\mu ({\overline {F}}\setminus F)=0.} A fundamental domain for the modular group Γ ( 1 ) := S L 2 ( Z ) {\displaystyle \Gamma (1):=\mathrm {SL} _{2}(\mathbb

Irving Reiner (331 words) [view diff] exact match in snippet view article find links to article

collaborated on three joint papers: On the generators of the symplectic modular group (1949); Automorphisms of the unimodular group (1951); Automorphisms

Steven Kerckhoff (326 words) [view diff] exact match in snippet view article find links to article

Steven P.; Thurston, William P., Noncontinuity of the action of the modular group at Bers' boundary of Teichmüller space. Inventiones Mathematicae 100

Automorphic factor (454 words) [view diff] exact match in snippet view article find links to article

Forms and Functions, (1977) Cambridge University Press ISBN 0-521-21212-X. (Chapter 3 is entirely devoted to automorphic factors for the modular group.)

Irwin Kra (799 words) [view diff] exact match in snippet view article find links to article

August 1992 With Farkas: Theta constants, Riemann surfaces, and the modular group: an introduction with applications to uniformization theorems, partition

Siegel Eisenstein series (169 words) [view diff] exact match in snippet view article find links to article

matrices C,D that are the "bottom half" of an element of the Siegel modular group. Klingen Eisenstein series, a generalization of the Siegel Eisenstein

List of small groups (1,319 words) [view diff] exact match in snippet view article find links to article

G166 Z8 ⋊ Z2 Z8 (2), Z4 × Z2, Z4 (2), Z22, Z2 (3) Sometimes called the modular group of order 16, though this is misleading as abelian groups and Q8 × Z2

Graduate Studies in Mathematics (4,546 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-8218-2895-3) 37 Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition

Rankin–Selberg method (994 words) [view diff] exact match in snippet view article find links to article

analytic Eisenstein series E(τ,s) over a fundamental domain D of the modular group SL2(Z) acting on the upper half plane ∫ D f ( τ ) g ( τ ) ¯ E ( τ ,

Siegel modular variety (1,147 words) [view diff] case mismatch in snippet view article find links to article

"Intersections of Two Walls of the Gottschling Fundamental Domain of the Siegel Modular Group of Genus Two". In Heim, Bernhard; Al-Baali, Mehiddin; Rupp, Florian

Classical modular curve (1,277 words) [view diff] exact match in snippet view article find links to article

Automorphic Functions, Princeton, 1972 OEIS sequence A001617 (Genus of modular group Gamma_0(n). Or, genus of modular curve X_0(n)) [2] Coefficients of X0(n)

Hardy–Ramanujan Journal (292 words) [view diff] exact match in snippet view article find links to article

Hershel M.; Kra, Irwin (2001), Theta constants, Riemann surfaces, and the modular group: an introduction with applications to uniformization theorems, partition

Von Neumann algebra (5,917 words) [view diff] exact match in snippet view article find links to article

the interval [0,1]. More precisely, if the Connes spectrum (of its modular group) is 1 then the factor is of type III0, if the Connes spectrum is all

Boundedly generated group (1,781 words) [view diff] exact match in snippet view article find links to article

Zeev (2004). "Stable mixing for cat maps and quasi-morphisms of the modular group". Erg. Th. & Dynam. Syst. 24 (2): 609–619. arXiv:math/0009143. doi:10

Representation theory (7,269 words) [view diff] exact match in snippet view article find links to article

transformation properties. The generalization involves replacing the modular group PSL2 (R) and a chosen congruence subgroup by a semisimple Lie group

Caroline Polachek (4,373 words) [view diff] exact match in snippet view article find links to article

singers, including members of Au Revoir Simone and Class Actress. The modular group arranged and recorded two cover versions a year from 2008 to 2013, including

Central series (2,253 words) [view diff] exact match in snippet view article find links to article

Arthur Jennings who used the series to describe the Loewy series of the modular group ring of a p-group. Nilpotent series, an analogous concept for solvable

Brian Bowditch (2,069 words) [view diff] exact match in snippet view article find links to article

vol. 566 (2004), pp. 41–89. W. J. Harvey, "Boundary structure of the modular group". Riemann surfaces and related topics: Proceedings of the 1978 Stony

Aner Shalev (1,491 words) [view diff] exact match in snippet view article find links to article

does not involve probability; these problems concern quotients of the modular group, conjectures of Babai and of Cameron on permutation groups, diameters

Curve complex (1,420 words) [view diff] case mismatch in snippet view article find links to article

1112/jtopol/jtq031. S2CID 14179122. Harvey, W. J. (1981). "Boundary Structure of the Modular Group". Riemann Surfaces and Related Topics. Proceedings of the 1978 Stony

Character variety (1,237 words) [view diff] exact match in snippet view article find links to article

91–103. doi:10.1007/BF01214715. S2CID 120977131. Iwasaki, K. (2002). "A modular group action on cubic surfaces and the monodromy of the Painlevé VI equation"

Mihály Párkányi (1,017 words) [view diff] case mismatch in snippet view article find links to article

Committee of Building Science. Between 1964-67 Member of the International Modular Group (C.I.B. Working Committee W.24.) From 1962 on the following themes:

500 (number) (5,701 words) [view diff] exact match in snippet view article

Retrieved June 2, 2022. Wohlfahrt, K. (1985). "Macbeath's curve and the modular group". Glasgow Math. J. 27: 239–247. doi:10.1017/S0017089500006212. MR 0819842

Farey sequence (5,077 words) [view diff] case mismatch in snippet view article find links to article

462–463). Vepstas, Linas. "The Minkowski Question Mark, GL(2,Z), and the Modular Group" (PDF). — reviews the isomorphisms of the Stern-Brocot Tree. Vepstas

Zeta function universality (2,435 words) [view diff] exact match in snippet view article find links to article

Kačėnas (2013). "Universality of the Selberg zeta-function for the modular group". Forum Mathematicum. 25 (3). doi:10.1515/form.2011.127. ISSN 1435-5337

Markov constant (1,851 words) [view diff] case mismatch in snippet view article find links to article

4064/aa102-1-5. Nicholls, Peter (1978). "Diophantine Approximation via the Modular Group". Journal of the London Mathematical Society. Second Series. 17: 11–17

John R. Stallings (3,600 words) [view diff] exact match in snippet view article find links to article

95–128. Yuri Gurevich, and Paul Schupp, "Membership problem for the modular group", SIAM Journal on Computing, vol. 37 (2007), no. 2, pp. 425–459. John

Gae Aulenti (6,657 words) [view diff] exact match in snippet view article find links to article

using poly(methyl acrylate) molding. The Ruspa table lamp (1967) was a modular group of four lights. Direct light and indirect light from imbedded reflectors

Quantum dilogarithm (801 words) [view diff] exact match in snippet view article find links to article

arXiv:hep-th/9408041. Faddeev, L. D. (1995). "Discrete Heisenberg-Weyl group and modular group". Letters in Mathematical Physics. 34 (3): 249–254. arXiv:hep-th/9504111

Topological recursion (4,390 words) [view diff] exact match in snippet view article find links to article

n {\displaystyle \omega _{g,n}} are quasi-modular forms under the modular group of marking changes. The invariants ω g , n {\displaystyle \omega _{g