Rings with polynomial identities and finite dimensional representations of algebras / Eli Aljadeff, Antonio Giambruno, Claudio Procesi, Amitai Regev.
By: Aljadeff, Eli (Eliahu) [author.].
Contributor(s): Giambruno, A [author.] | Procesi, Claudio [author.] | Regev, Amitai [author.].
Material type:
TextSeries: American Mathematical Society colloquium publications, volume 66.Publisher: [Providence, Rhode Island] : American Mathematical Society, [2020]Description: xii, 630 pages; USD 99.00 26 cms.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470451745.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 | Associative rings and algebras {For the commutative case, see 13-XX} -- Rings and algebras with additional structure -- Actions of groups and semigroups; 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 dimensionDDC classification: 512/.4 Other classification: 16H05 | 16R10 | 16R20 | 16R30 | 16W22 | 15A75 | 15A72 | 14L24 | 16N60 | 16P90 | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| Book | Chennai Mathematical Institute General Stacks | 512.4 ALJ (Browse shelf) | Available | 10830 |
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Includes bibliographical references and index.
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.