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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2018
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v_n_p_Heckenberger http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Heckenberger |
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paper:paper_1386923X_v_n_p_Heckenberger2023-06-08T16:12:53Z PBW Deformations of a Fomin–Kirillov Algebra and Other Examples 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. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v_n_p_Heckenberger 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 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. |
| 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 |
| publishDate |
2018 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v_n_p_Heckenberger http://hdl.handle.net/20.500.12110/paper_1386923X_v_n_p_Heckenberger |
| _version_ |
1768541952833224704 |