This paper provides a homological algebraic foundation for generalizations of classical Hecke algebras introduced in (1999, A. Sevostyanov, Comm. Math. Phys. 204, 137). These new Hecke algebras are associated to triples of the form (A, A 0 , =), where A is an associative algebra over a field k conta
β¦ LIBER β¦
Semi-infinite cohomology ofW-algebras
β Scribed by Peter Bouwknegt; Jim McCarthy; Krzysztof Pilch
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 662 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0377-9017
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In the paper one- and two-dimensional cohomology is compared for finite and infinite nilpotent Lie algebras, with coefficients in the adjoint representation. It turns out that, because the adjoint representation is not a highest weight representation in infinite dimension, the considered cohomology