Cohomology for quantum groups via the geometry of the nullcone
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Publication:2925673
DOI10.1090/memo/1077zbMath1344.20066arXiv1102.3639OpenAlexW4244336336MaRDI QIDQ2925673
Cornelius Pillen, Brian J. Parshall, Christopher P. Bendel, Daniel K. Nakano
Publication date: 17 October 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.3639
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups (quantized function algebras) and their representations (20G42) Cohomology theory for linear algebraic groups (20G10) Coadjoint orbits; nilpotent varieties (17B08)
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Cites Work
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- Representations and cohomology for Frobenius-Lusztig kernels
- Cohomology of induced representations for algebraic groups
- A Mackey imprimitivity theory for algebraic groups
- Modules over the small quantum group and semi-infinite flag manifold
- Cohomology of infinitesimal and discrete groups
- Closures of conjugacy classes of matrices are normal
- The normality of closures of conjugacy classes of matrices
- Cohomology of quantum groups at roots of unity
- Polarizations in the classical groups
- Normal nilpotent varieties in \(F_4\)
- Frobenius splitting of cotangent bundles of flag varieties
- The Magma algebra system. I: The user language
- Normality of nilpotent varieties in \(E_{6}\).
- A counterpart of the Verlinde algebra for the small quantum group.
- Normality of certain nilpotent varieties in positive characteristic
- Varieties of nilpotent elements for simple Lie algebras. I: Good primes.
- On the geometry of conjugacy classes in classical groups
- Conjugacy classes in algebraic groups. Notes by Vinay V. Deodhar
- Another realization of the category of modules over the small quantum group
- The strong linkage principle for quantum groups at roots of 1.
- On the center of the small quantum group.
- Rigid dualizing complex for quantum enveloping algebras and algebras of generalized differential operators
- Support varieties for quantum groups
- Support varieties for Weyl modules over bad primes.
- Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves
- Varieties of nilpotent elements for simple Lie algebras. II: Bad primes.
- Representations of quantum algebras
- On Injective Modules and Support Varieties for the Small Quantum Group
- On the differentials in the Lyndon-Hochschild-Serre spectral sequence
- Groupes et algébras de Lie
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- Support Varieties and Representation Type of Small Quantum Groups
- Cohomology of Lie Algebras and Algebraic Groups
- Support Varieties of Weyl Modules
- Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups, II
- Cohomology of Quantum Groups: the Quantum Dimension
- Infinitesimal 1-parameter subgroups and cohomology
- Support varieties for infinitesimal group schemes
- A q-Analogue of Kempf's vanishing theorem
- Support varieties for algebraic groups
- Quantum groups, the loop Grassmannian, and the Springer resolution
- An upper bound on the exceptional characteristics for Lusztig's character formula
- Cohomology of finite-dimensional pointed Hopf algebras
- NORMALITY OF VERY EVEN NILPOTENT VARIETIES IN $D_{2l}$
- Introduction to Lie Algebras and Representation Theory
- Preface
- Homology
- Reflection groups and invariant theory