On higher Frobenius-Schur indicators:
We study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove various divisibility and integrality results for these invariants. In particular, we prove a version of Cauchy's theor...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2006
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
855 |
| Schlagworte: | |
| Zusammenfassung: | We study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove various divisibility and integrality results for these invariants. In particular, we prove a version of Cauchy's theorem for semisimple Hopf algebras. Furthermore, we give some examples that illustrate the general theory. |
| Beschreibung: | "Volume 181, number 855 (fourth of 5 numbers)." Includes bibliographical references |
| Beschreibung: | VII, 65 S. |
| ISBN: | 0821838865 |
Internformat
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| 245 | 1 | 0 | |a On higher Frobenius-Schur indicators |c Yevgenia Kashina ; Yorck Sommerhäuser ; Yongchang Zhu |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2006 | |
| 300 | |a VII, 65 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 855 | |
| 500 | |a "Volume 181, number 855 (fourth of 5 numbers)." | ||
| 500 | |a Includes bibliographical references | ||
| 520 | 3 | |a We study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove various divisibility and integrality results for these invariants. In particular, we prove a version of Cauchy's theorem for semisimple Hopf algebras. Furthermore, we give some examples that illustrate the general theory. | |
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| 650 | 4 | |a Lie superalgebras | |
| 650 | 4 | |a Frobenius algebras | |
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| author | Kašina, Evgenia 1971- Sommerhäuser, Yorck 1966- Zhu, Yongchang |
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| id | DE-604.BV021567181 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T14:36:59Z |
| indexdate | 2024-07-09T20:38:49Z |
| institution | BVB |
| isbn | 0821838865 |
| language | English |
| lccn | 2006040679 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014783048 |
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| physical | VII, 65 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Kašina, Evgenia 1971- Verfasser (DE-588)173835872 aut On higher Frobenius-Schur indicators Yevgenia Kashina ; Yorck Sommerhäuser ; Yongchang Zhu Providence, R.I. American Mathematical Society 2006 VII, 65 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 855 "Volume 181, number 855 (fourth of 5 numbers)." Includes bibliographical references We study the higher Frobenius-Schur indicators of modules over semisimple Hopf algebras, and relate them to other invariants as the exponent, the order, and the index. We prove various divisibility and integrality results for these invariants. In particular, we prove a version of Cauchy's theorem for semisimple Hopf algebras. Furthermore, we give some examples that illustrate the general theory. Hopf-algebra's gtt Lie-algebra's gtt Probleem van Cauchy gtt Álgebra larpcal Álgebras de hopf larpcal Hopf algebras Lie superalgebras Frobenius algebras Cauchy integrals Hopf-Algebra (DE-588)4160646-2 gnd rswk-swf Cauchy-Integral (DE-588)4511419-5 gnd rswk-swf Frobenius-Algebra (DE-588)4155476-0 gnd rswk-swf Lie-Superalgebra (DE-588)4304027-5 gnd rswk-swf Hopf-Algebra (DE-588)4160646-2 s Lie-Superalgebra (DE-588)4304027-5 s Frobenius-Algebra (DE-588)4155476-0 s Cauchy-Integral (DE-588)4511419-5 s b DE-604 Sommerhäuser, Yorck 1966- Verfasser (DE-588)121313883 aut Zhu, Yongchang Verfasser aut Memoirs of the American Mathematical Society 855 (DE-604)BV008000141 855 |
| spellingShingle | Kašina, Evgenia 1971- Sommerhäuser, Yorck 1966- Zhu, Yongchang On higher Frobenius-Schur indicators Memoirs of the American Mathematical Society Hopf-algebra's gtt Lie-algebra's gtt Probleem van Cauchy gtt Álgebra larpcal Álgebras de hopf larpcal Hopf algebras Lie superalgebras Frobenius algebras Cauchy integrals Hopf-Algebra (DE-588)4160646-2 gnd Cauchy-Integral (DE-588)4511419-5 gnd Frobenius-Algebra (DE-588)4155476-0 gnd Lie-Superalgebra (DE-588)4304027-5 gnd |
| subject_GND | (DE-588)4160646-2 (DE-588)4511419-5 (DE-588)4155476-0 (DE-588)4304027-5 |
| title | On higher Frobenius-Schur indicators |
| title_auth | On higher Frobenius-Schur indicators |
| title_exact_search | On higher Frobenius-Schur indicators |
| title_exact_search_txtP | On higher Frobenius-Schur indicators |
| title_full | On higher Frobenius-Schur indicators Yevgenia Kashina ; Yorck Sommerhäuser ; Yongchang Zhu |
| title_fullStr | On higher Frobenius-Schur indicators Yevgenia Kashina ; Yorck Sommerhäuser ; Yongchang Zhu |
| title_full_unstemmed | On higher Frobenius-Schur indicators Yevgenia Kashina ; Yorck Sommerhäuser ; Yongchang Zhu |
| title_short | On higher Frobenius-Schur indicators |
| title_sort | on higher frobenius schur indicators |
| topic | Hopf-algebra's gtt Lie-algebra's gtt Probleem van Cauchy gtt Álgebra larpcal Álgebras de hopf larpcal Hopf algebras Lie superalgebras Frobenius algebras Cauchy integrals Hopf-Algebra (DE-588)4160646-2 gnd Cauchy-Integral (DE-588)4511419-5 gnd Frobenius-Algebra (DE-588)4155476-0 gnd Lie-Superalgebra (DE-588)4304027-5 gnd |
| topic_facet | Hopf-algebra's Lie-algebra's Probleem van Cauchy Álgebra Álgebras de hopf Hopf algebras Lie superalgebras Frobenius algebras Cauchy integrals Hopf-Algebra Cauchy-Integral Frobenius-Algebra Lie-Superalgebra |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT kasinaevgenia onhigherfrobeniusschurindicators AT sommerhauseryorck onhigherfrobeniusschurindicators AT zhuyongchang onhigherfrobeniusschurindicators |