The Structure of Walled Signed Brauer Algebras

IF 0.6 Q3 MATHEMATICS Kyungpook Mathematical Journal Pub Date : 2016-12-23 DOI:10.5666/KMJ.2016.56.4.1047

B. Kethesan

引用次数: 1

Abstract

. In this paper, a new class of diagram algebras which are subalgebras of signed brauer algebras, called the Walled Signed Brauer algebras denoted by −→ D r,s ( x ) ; where r; s ∈ N and x is an indeterminate are introduced. A presentation of walled signed Brauer algebras in terms of generators and relations is given. The cellularity of a walled signed Brauer algebra is established. Finally, −→ D r,s ( x ) ; is quasi- hereditary if either the characteristic of a (cid:12)eld, say p; p = 0 or p > max ( r; s ) and either x ̸ = 0 or x = 0 and r ̸ = s:

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壁符号Brauer代数的结构

．本文研究了一类新的符号brauer代数的子代数，称为wall符号brauer代数，用-→D r,s (x)表示;r;引入s∈N, x为不定式。给出了壁符号Brauer代数的生成和关系。建立了带壁符号Brauer代数的胞性。最后，−→D r,s (x);是准遗传的，如果a (cid:12)域的特征，例如p;P = 0或P > Max (r;S)，或者x≤0，或者x≤0,r≤S:

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.