Brauer graph algebras are closed under derived equivalence

نویسندگان

چکیده

Abstract In this paper the class of Brauer graph algebras is proved to be closed under derived equivalence. For that we use rank maximal torus identity component $$Out^0(A)$$ O u t 0 ( A ) group outer automorphisms a symmetric stably biserial algebra A .

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Graph Algebras and Orbit Equivalence

We introduce the notion of orbit equivalence of directed graphs, following Matsumoto’s notion of continuous orbit equivalence for topological Markov shifts. We show that two graphs in which every cycle has an exit are orbit equivalent if and only if there is a diagonal-preserving isomorphism between their C∗-algebras. We show that it is necessary to assume that every cycle has an exit for the f...

متن کامل

Flow Equivalence of Graph Algebras

This paper explores the effect of various graphical constructions upon the associated graph C∗-algebras. The graphical constructions in question arise naturally in the study of flow equivalence for topological Markov chains. We prove that outsplittings give rise to isomorphic graph algebras, and in-splittings give rise to strongly Morita equivalent C∗-algebras. We generalise the notion of a del...

متن کامل

Brauer Algebras and the Brauer Group

An algebra is a vector space V over a field k together with a kbilinear product of vectors under which V is a ring. A certain class of algebras, called Brauer algebras algebras which split over a finite Galois extension appear in many subfields of abstract algebra, including K-theory and class field theory. Beginning with a definition of the the tensor product, we define and study Brauer algebr...

متن کامل

Derived equivalence of symmetric special biserial algebras

We introduce Brauer complex of symmetric SB-algebra, and reformulate in terms of Brauer complex the so far known invariants of stable and derived equivalence of symmetric SB-algebras. In particular, the genus of Brauer complex turns out to be invariant under derived equivalence. We study transformations of Brauer complexes which preserve class of derived equivalence. Additionally, we establish ...

متن کامل

Discriminants of Brauer Algebras

In this paper, we compute Gram determinants associated to all cell modules of Brauer algebras Bn(δ). Theoretically, we know when a cell module of Bn(δ) is equal to its simple head. This gives a solution of this long standing problem. On the occasion of Professor Gus Lehrer’s 60 birthday

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2022

ISSN: ['1432-1823', '0025-5874']

DOI: https://doi.org/10.1007/s00209-021-02937-x