PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
We begin the study of PBW deformations of graded algebras relevant to the theory of Hopf algebras. One of our examples is the Fomin–Kirillov algebra E3. Another one appeared in a paper of García Iglesias and Vay. As a consequence of our methods, we determine when the deformations are semisimple and...
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| Autores principales: | , |
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| Formato: | INPR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Heckenberger |
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| Sumario: | We begin the study of PBW deformations of graded algebras relevant to the theory of Hopf algebras. One of our examples is the Fomin–Kirillov algebra E3. Another one appeared in a paper of García Iglesias and Vay. As a consequence of our methods, we determine when the deformations are semisimple and we are able to produce PBW bases and polynomial identities for these deformations. © 2018, Springer Nature B.V. |
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