ON THE -POLYNOMIAL IDENTITIES OF A CLASS OF -MINIMAL ALGEBRAS

被引：5

作者：

Di Vincenzo, Onofrio M. ^{[1
]}

Nardozza, Vincenzo ^{[1
]}

机构：

[1] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

COMMUNICATIONS IN ALGEBRA | 2010年 / 38卷 / 08期

关键词：

Algebras with involution; Cocharacters; Polynomial identities; Proper polynomials; HILBERT SERIES; CODIMENSIONS; INVOLUTION; MATRICES; GROWTH;

D O I：

10.1080/00927872.2010.481762

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be an infinite field. We consider certain block-triangular algebras with involution U-n, with n is an element of N, having minimal *-exponent. We describe their *-polynomial identities, and in case char.F = 0, their structure as a T-*-ideal under the action of general linear groups. These goals are achieved by means of Y-proper polynomials. We also compute explicitly the irreducible modules occurring in the decomposition of B-Y(U-3) and their multiplicities.

引用

页码：3078 / 3093

页数：16

共 50 条

[1] MINIMAL IDENTITIES FOR ALGEBRAS
AMITSUR, AS
LEVITZKI, J
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 1 (04) : 449 - 463
[2] Polynomial identities of Banach algebras
Cioletti L.
Freitas J.A.
Gonçalves D.J.
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017, 58 (1): : 189 - 194
[3] POLYNOMIAL IDENTITIES OF INCIDENCE ALGEBRAS
FEINBERG, RB
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 55 (01) : 25 - 28
[4] Polynomial identities in Novikov algebras
Vladimir Dotsenko
Nurlan Ismailov
Ualbai Umirbaev
Mathematische Zeitschrift, 2023, 303
[5] Polynomial identities in Novikov algebras
Dotsenko, Vladimir
Ismailov, Nurlan
Umirbaev, Ualbai
MATHEMATISCHE ZEITSCHRIFT, 2023, 303 (03)
[6] POLYNOMIAL IDENTITIES AND AZUMAYA ALGEBRAS
AMITSUR, SA
JOURNAL OF ALGEBRA, 1973, 27 (01) : 117 - 125
[7] Graded polynomial identities as identities of universal algebras
Bahturin, Yuri
Yasumura, Felipe
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 562 : 1 - 14
[8] Identities of representations of Lie algebras and *-polynomial identities
Rashkova T.
Drensky V.
Rendiconti del Circolo Matematico di Palermo, 1999, 48 (1) : 153 - 162
[9] REMARKS ON MINIMAL IDENTITIES FOR ALGEBRAS
AMITSUR, AS
LEVITZKI, J
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1950, 56 (03) : 249 - 250
[10] MINIMAL IDENTITIES OF OCTONION ALGEBRAS
RACINE, ML
JOURNAL OF ALGEBRA, 1988, 115 (01) : 251 - 260

← 1 2 3 4 5 →

ON THE *-POLYNOMIAL IDENTITIES OF A CLASS OF *-MINIMAL ALGEBRAS

ON THE -POLYNOMIAL IDENTITIES OF A CLASS OF -MINIMAL ALGEBRAS