Support varieties for quantum groups

DOI10.1007/BF02463206zbMath0981.17010arXivq-alg/9711008OpenAlexW2093091995MaRDI QIDQ1966235

Victor Ostrik

Publication date: 3 March 2002

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9711008

zbMATH Keywords

tilting modulesquantum groupssupport varieties

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Cohomology theory for linear algebraic groups (20G10)

Related Items

Support varieties for Weyl modules over bad primes. ⋮ Differentiating the Weyl generic dimension formula with applications to support varieties ⋮ On support varieties and the Humphreys conjecture in type \(A\) ⋮ Cohomological growth rates and Kazhdan-Lusztig polynomials. ⋮ On the support varieties of tilting modules. ⋮ The Avrunin and Scott theorem and a truncated polynomial algebra. ⋮ Support varieties for finite tensor categories: complexity, realization, and connectedness ⋮ Cohomology for quantum groups via the geometry of the nullcone ⋮ Generalized negligible morphisms and their tensor ideals ⋮ On the Humphreys conjecture on support varieties of tilting modules ⋮ Support varieties for rational representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cells in affine Weyl groups. II
• Support varieties for restricted Lie algebras
• Geometry of p-unipotent Lie algebras
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Canonical left cells in affine Weyl groups
• Tensor products of quantized tilting modules
• Cohomology of quantum groups at roots of unity
• Tensor ideals in the category of tilting modules
• Kohomologie von p-Lie-Algebren und nilpotente Elemente. (Cohomology of p- Lie-algebras and nilpotent elements)
• Representations of quantum algebras
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Support Varieties of Weyl Modules
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
• Introduction to quantum groups