| 出版者 |
([Providence, Rhode Island] : American Mathematical Society) |
| 出版年 |
[2020] |
| 大きさ |
1 online resource (pages cm.) |
|
著者標目
|
*Aljadeff, Eli 1956- author
Giambruno, A. author
Procesi, Claudio author
Regev, Amitai author
|
| 件 名 |
LCSH:Polynomial rings
LCSH:PI-algebras
LCSH:Representations of algebras
FREE:Associative rings and algebras {For the commutative case, see 13-XX} -- Algebras and orders {For arithmetic aspects, see 11R52, 11R54, 11S45; for representation theory, see 16G30} -- Separable algebra
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FREE:Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- $T$-ideals, identities, varieties of rings and algebras
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FREE:Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- Semiprime p.i. rings, rings embeddable in matrices over commutative rings
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FREE:Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- Trace rings and invariant theory
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FREE:Associative rings and algebras {For the commutative case, see 13-XX} -- Rings and algebras with additional structure -- Actions of groups and semigroups; invariant theory
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FREE:Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Exterior algebra, Grassmann algebras
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FREE:Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Vector and tensor algebra, theory of invariants [See also 13A50, 14L24]
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FREE:Algebraic geometry -- Algebraic groups {For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45} -- Geometric invariant theory [See also 13A50]
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FREE:Associative rings and algebras {For the commutative case, see 13-XX} -- Radicals and radical properties of rings -- Prime and semiprime rings [See also 16D60, 16U10]
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FREE:Associative rings and algebras {For the commutative case, see 13-XX} -- Chain conditions, growth conditions, and other forms of finiteness -- Growth rate, Gelfand-Kirillov dimension
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| 内容注記 |
Introduction
Noncommutative algebra
Universal algebra
Symmetric functions and matrix invariants
Polynomial maps
Azumaya algebras and irreducible representations
Tensor symmetry
Growth
Shirshov's theorem
$2\times 2$ matrices
The structure theorems
Matrix identities
Structure theorems
Invariants and trace identities
Involutions and matrices
A geometric approach
Spectrum and dimension
The nilpotent radical
Finite-dimensional and affine PI algebras
The relatively free algebras
Identities and superalgebras
The Specht problem
The PI-exponent
Codimension growth for matrices
Codimension growth for algebras satisfying a Capelli identity
The Golod-Shafarevich counterexamples |
| 一般注記 |
Includes bibliographical references and index
Access is restricted to licensed institutions
Electronic reproduction Providence, Rhode Island American Mathematical Society 2020
Mode of access : World Wide Web
Description based on print version record
HTTP:URL=https://www.ams.org/coll/066 Information=Contents
HTTP:URL=https://doi.org/10.1090/coll/066 Information=Contents |
