Rings with polynomial identities and finite dimensional representations of algebras / Eli Aljadeff, Antonio Giambruno, Claudio Procesi, Amitai Regev.
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TextLanguage: English Series: American Mathematical Society colloquium publications ; volume 66Publication details: Rhode Island American Mathematical Society (AMS) 2020Description: 630 pagesISBN: 9781470451745 (HP)Subject(s): Polynomial rings | PI-algebras | Representations of algebras | 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 | Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- $T$-ideals, identities, varieties of rings and algebras | 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 | Associative rings and algebras {For the commutative case, see 13-XX} -- Rings with polynomial identity -- Trace rings and invariant theory | Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Exterior algebra, Grassmann algebras | Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Vector and tensor algebra, theory of invariants [See also 13A50, 14L24] | Algebraic geometry -- Algebraic groups {For linear algebraic groups, see 20Gxx; for Lie algebras, see 17B45} -- Geometric invariant theory [See also 13A50] | 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] | 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 | Mathematics
BOOKS
| Current library | Home library | Call number | Materials specified | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | 512 AIJ (Browse shelf (Opens below)) | Available | 75428 |
Includes bibliographical references, Index and index of symbols
Noncommutative algebra -- Universal algebra -- Symmetric functions and matrix invariants -- Polynomial maps -- Azumaya algebras and irreducible representations -- Tensor symmetry -- Growth -- Shirshov's theorem -- 2 x 2 matrices -- 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.
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