Quantum linear groups

Quantum linear groups

by Parshall, Brian

Type Book
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We consider the theory of quantum groups as a natural abstraction of the theory of affine group schemes. After establishing the foundational results as the theory of induced representations, rational cohomology, and the Hochschild-Serre spectral sequence, we take up a detailed investigation of the quantum linear group [italic]GL[italic subscript]q([italic]n). In particular, we develop the global and infinitesimal representation theory of [italic]GL[italic subscript]q([italic]n) and its subgroup…

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Title Statements

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

Summary

We consider the theory of quantum groups as a natural abstraction of the theory of affine group schemes. After establishing the foundational results as the theory of induced representations, rational cohomology, and the Hochschild-Serre spectral sequence, we take up a detailed investigation of the quantum linear group [italic]GL[italic subscript]q([italic]n). In particular, we develop the global and infinitesimal representation theory of [italic]GL[italic subscript]q([italic]n) and its subgroups.

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Edition Statements

  • Publication Date:©1991.

Publication Statements

Notes

"January 1991, volume 89, number 439 (second of 3 numbers)."

The Physical Object

  • Description:vi, 157 pages : : illustrations ; : 26 cm.

Edition Identifiers

  • ISBN:0821825011, 9780821825013
  • oclc:ocm22510055
  • LC Classification:QA3
  • Dewey Decimal:512/.2

Subjects

31.29 algebra: other Darstellungstheorie Group schemes (Mathematics) Groupes linéaires algébriques Gruppenschema Linear algebraic groups Lineare Gruppe Quantengruppe Représentations de groupes Representations of groups Schémas en groupes Teoria Dos Grupos

Writers

Parshall, Brian Wang, Jianpan

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