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searching for Lie algebra cohomology 8 found (37 total)

David Vogan (559 words) [view diff] exact match in snippet view article find links to article

Mathematics Institutions Massachusetts Institute of Technology Thesis Lie algebra cohomology and the representations of semisimple Lie groups (1976) Doctoral

Bertram Kostant (1,209 words) [view diff] exact match in snippet view article find links to article

PMC 528626. PMID 16590246. Kostant, Bertram (1961). "Lie algebra cohomology and the generalized Borel-Weil theorem" (PDF). Annals of Mathematics

Cartan decomposition (1,499 words) [view diff] exact match in snippet view article find links to article

to be confused with the distinct notion involving the relative Lie algebra cohomology H ∗ ( g , k ) {\displaystyle H^{*}({\mathfrak {g}},{\mathfrak {k}})}

Kostant polynomial (2,075 words) [view diff] exact match in snippet view article find links to article

(2nd ed.), Springer, ISBN 978-0-387-90053-7 Kostant, Bertram (1963), "Lie algebra cohomology and generalized Schubert cells", Ann. of Math., 77 (1): 72–144,

Batalin–Vilkovisky formalism (3,114 words) [view diff] exact match in snippet view article find links to article

algebra with Δ given by the usual differential used to compute Lie algebra cohomology. BRST quantization Gerstenhaber algebra Supermanifold Analysis of

Injective module (3,919 words) [view diff] case mismatch in snippet view article find links to article

pp. 624, 625. "Injective Modules" (PDF). p. 10. Vogan, David. "Lie Algebra Cohomology" (PDF). "Structure of injective modules over Noetherian rings".

Derived category (4,503 words) [view diff] exact match in snippet view article find links to article

DG-algebras. Keller also gives applications to Koszul duality, Lie algebra cohomology, and Hochschild homology. More generally, carefully adapting the

Spectral sequence (10,702 words) [view diff] exact match in snippet view article find links to article

spectral sequence van Est spectral sequence converging to relative Lie algebra cohomology. Arnold's spectral sequence in singularity theory. Bloch–Lichtenbaum