Quantum linear groups

Quantum linear groups

by Parshall, Brian

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Title Statements

  • Full title :Quantum linear groups / Brian Parshall, Jian-pan Wang.

Edition Statements

  • Publication Date:©1991

Publication Statements

Notes

"January 1991, Volume 89, Number 439 (second of 3 numbers)."

The Physical Object

  • Description:1 online resource (168 pages) : : illustrations

Edition Identifiers

  • ISBN:9781470408626, 1470408627
  • oclc:on1097112573
  • LC Classification:QA171
  • Dewey Decimal:512/.2

Table of Contents

""Contents""; ""Introduction""; ""1. Quantum Groups""; ""1.1. Quantum affine spaces""; ""1.2. Quantum groups""; ""1.3. Direct products""; ""1.4. Closed subgroups""; ""1.5. Normal closed subgroups""; ""1.6. Kernels and exact sequences""; ""1.7. Cartesian squares""; ""1.8. Coverings""; ""2. Representation Theory of Quantum Groups""; ""2.1. Rational representations""; ""2.2. Functorial description""; ""2.3. Defining matrices""; ""2.4. Contragradient modules and tensor products""; ""2.5. Characters and character groups""; ""2.6. Fixed points""; ""2.7. Induction""; ""2.8. Injective objects""

""2.9. Exact subgroups of quantum groups""""2.10. A theorem on central faithfully flat morphisms""; ""2.11. The Hochschild-Serre spectral sequence""; ""3. Quantum Matrix Spaces""; ""3.1. Quadratic algebras""; ""3.2. Quasi-Yang-Baxter algebras""; ""3.3. Basis theorem for quasi-Yang-Baxter algebras""; ""3.4. The quadratic algebras K[A[sup(n‌0)][sub(q)]] and K[A[sup(n‌0)][sub(q)]]""; ""3.5. The quantum matrix space M[sub(q)](n)""; ""3.6. The bialgebra structure on K[M[sub(q)](n)]""; ""3.7. Some automorphisms and anti-automorphisms""

""3.8. K[A[sup(n‌0)][sub(q)]] and K[A[sup(n‌0)][sub(q)] as …

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Subjects

Group schemes (Mathematics) Groupes linéaires algébriques Linear algebraic groups Représentations de groupes Representations of groups Schémas en groupes

Writers

Parshall, Brian Wang, Jianpan

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