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Information Journal Paper

Title

ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY

Pages

  291-341

Abstract

 Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a finite dimensional algebra over a field of finite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modified version of it is an invariant under STABLE EQUIVALENCES of Morita type. The invariant was used in various contexts to distinguish derived and stable equivalence classes of pairs of algebras in very subtle situations. Generalisations to non symmetric algebras and to higher Hochschild (co-) homology were given. This article surveys the results and gives some of the constructions in more details.

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    • Cite

    APA: Copy

    ZIMMERMANN, A.. (2011). ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(2), 291-341. SID. https://sid.ir/paper/592875/en

    Vancouver: Copy

    ZIMMERMANN A.. ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(2):291-341. Available from: https://sid.ir/paper/592875/en

    IEEE: Copy

    A. ZIMMERMANN, “ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 2, pp. 291–341, 2011, [Online]. Available: https://sid.ir/paper/592875/en

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