Classifying Algebras with Graded Involutions or Superinvolutions with Multiplicities of their Cocharacter Bounded by One

被引：1

作者：

Martino, Fabrizio ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2021年 / 24卷 / 02期

关键词：

Superinvolution; Cocharacters; Multiplicities; Graded involution; VARIETIES; MATRICES;

D O I：

10.1007/s10468-020-09948-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be superalgebra over a field of characteristic zero and let * be either a graded involution or a superinvolution defined on A. In this paper we characterize the *-algebras whose *-cocharacter has multiplicities bounded by one, showing a set of *-polynomial identities satisfied by such algebras.

引用

页码：317 / 326

页数：10

共 13 条

[1]

ANANIN AZ, 1976, SIBERIAN MATH J+, V17, P549

[2] COMPUTING THE Z2-COCHARACTER OF 3 x 3 MATRICES OF ODD DEGREE [J].

Aque, Stefania .

COMMUNICATIONS IN ALGEBRA, 2013, 41 (04) :1405-1416

[3] A note on cocharacter sequence of Jordan upper triangular matrix algebra [J].

Centrone, Lucio ;

Martino, Fabrizio .

COMMUNICATIONS IN ALGEBRA, 2017, 45 (04) :1687-1695

[4] Ordinary and graded cocharacter of the Jordan algebra of 2 x 2 upper triangular matrices [J].

Cirrito, Alessio ;

Martino, Fabrizio .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 451 :246-259

[5]

Drensky V, 2000, PI ALGEBRAS GRADUATE

[6] Cocharacters of group graded algebras and multiplicities bounded by one [J].

Giambruno, A. ;

Milies, C. Polcino ;

Valenti, A. .

LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (08) :1709-1715

[7] Super-cocharacters, star-cocharacters and multiplicities bounded by one [J].

Giambruno, A. ;

Mishchenko, S. .

MANUSCRIPTA MATHEMATICA, 2009, 128 (04) :483-504

[8] Standard polynomials and matrices with superinvolutions [J].

Giambruno, Antonio ;

Ioppolo, Antonio ;

Martino, Fabrizio .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 504 :272-291

[9] Varieties of Algebras with Superinvolution of Almost Polynomial Growth [J].

Giambruno, Antonio ;

Ioppolo, Antonio ;

La Mattina, Daniela .

ALGEBRAS AND REPRESENTATION THEORY, 2016, 19 (03) :599-611

[10] Identities of *-superalgebras and almost polynomial growth [J].

Giambruno, Antonio ;

dos Santos, Rafael Bezerra ;

Vieira, Ana Cristina .

LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (03) :484-501

← 1 2 →