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First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras

Autor: Rachel Taillefer

Publikováno v: Homology, Homotopy and Applications(HHA)
Homology, Homotopy and Applications(HHA), International Press of Boston, Inc., 2019, 21 (1), pp.19-48
Homology, Homotopy and Applications(HHA), 2019, 21 (1), pp.19-48

We use the dimension and the Lie algebra structure of the first Hochschild cohomology group to distinguish some algebras of dihedral, semi-dihedral and quaternion type up to stable equivalence of Morita type. In particular, we complete the classifica

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f413b3a5d854b26ada15f7b03cc7f41
https://doi.org/10.4310/hha.2019.v21.n1.a2

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An embedding of the Bannai–Ito algebra in U(osp(1,2)) and −1 polynomials

Autor: Baseilhac, Pascal, Genest, Vincent, Vinet, Luc, Zhedanov, Alexei

Publikováno v: Letters in Mathematical Physics
Letters in Mathematical Physics, Springer Verlag, 2018, 108 (7), pp.1623-1634. ⟨10.1007/s11005-017-1041-0⟩

11 pages; International audience; An embedding of the Bannai–Ito algebra in the universal enveloping algebra of osp(1,2) is provided. A connection with the characterization of the little −1 Jacobi polynomials is found in the holomorphic realizati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::04526232148b0cb117fa1dfd44761927
https://hal.archives-ouvertes.fr/hal-02154124

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The geometry of special symplectic representations

Autor: Marcus J. Slupinski, Robert J. Stanton

We show there is a class of symplectic Lie algebra representations over any field of characteristic not 2 or 3 that have many of the exceptional algebraic and geometric properties of both symmetric three forms in two dimensions and alternating three

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9e757d8b07d2b482ea675ec9572ed79
http://arxiv.org/abs/1210.4738

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