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: Heckenberger, I., Vendramin, L.
Formato: INPR
Materias:
Clifford algebra
Fomin–Kirillov algebra
Hopf algebra
Nichols algebra
PBW deformation
Polynomial identity
Deformation
Graded algebras
Hopf algebras
Polynomial identities
Algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Heckenberger
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_1386923X_v_n_p_Heckenberger2023-10-03T16:12:24Z PBW Deformations of a Fomin–Kirillov Algebra and Other Examples Heckenberger, I. Vendramin, L. Clifford algebra Fomin–Kirillov algebra Hopf algebra Nichols algebra PBW deformation Polynomial identity Deformation Clifford algebra Graded algebras Hopf algebras Polynomial identities Algebra 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. INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Heckenberger
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Clifford algebra
Fomin–Kirillov algebra
Hopf algebra
Nichols algebra
PBW deformation
Polynomial identity
Deformation
Clifford algebra
Graded algebras
Hopf algebras
Polynomial identities
Algebra
spellingShingle Clifford algebra
Fomin–Kirillov algebra
Hopf algebra
Nichols algebra
PBW deformation
Polynomial identity
Deformation
Clifford algebra
Graded algebras
Hopf algebras
Polynomial identities
Algebra
Heckenberger, I.
Vendramin, L.
PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
topic_facet Clifford algebra
Fomin–Kirillov algebra
Hopf algebra
Nichols algebra
PBW deformation
Polynomial identity
Deformation
Clifford algebra
Graded algebras
Hopf algebras
Polynomial identities
Algebra
description 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.
format INPR
author Heckenberger, I.
Vendramin, L.
author_facet Heckenberger, I.
Vendramin, L.
author_sort Heckenberger, I.
title PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
title_short PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
title_full PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
title_fullStr PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
title_full_unstemmed PBW Deformations of a Fomin–Kirillov Algebra and Other Examples
title_sort pbw deformations of a fomin–kirillov algebra and other examples
url http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Heckenberger
work_keys_str_mv AT heckenbergeri pbwdeformationsofafominkirillovalgebraandotherexamples
AT vendraminl pbwdeformationsofafominkirillovalgebraandotherexamples
_version_ 1807315822100611072

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