Linear algebraic monoids
著者
書誌事項
Linear algebraic monoids
（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 134 . Invariant theory and algebraic transformation groups ; 5）
Springer, c2005
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注記
Includes bibliographical references: p. [235]-241
Includes index
内容説明・目次
内容説明
This solid volume discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. Open problems are discussed as they arise and many useful exercises are included.
目次
Introduction.- Background.- Algebraic Monoids.- Regularity Conditions.- Classification of Reductive Monoids.- Universal Constructions.- Orbit Structure of Reductive Monoids.- The Monoid Analogue of the Bruhat Decomposition.- Representations and Blocks of Algebraic Monoids.- Monoids of Lie Type.- Cell Decomposition of Algebraic Monoids.- Conjugacy Classes.- The Centralizer of a Semisimple Element.- Combinatorics Related to Algebraic Monoids.- Related Developments.- References.- Index.
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