Braid groups in handlebodies and corresponding hecke algebras

Valeriy G. Bardakov

doi:10.1007/978-3-319-68103-0_9

Braid groups in handlebodies and corresponding hecke algebras

Кафедра алгебры и математической логики ММФ

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

1 Цитирования (Scopus)

Аннотация

In this paper we study the kernel of the homomorphism B_g,n→B_n of the braid group B_g,n in the handlebody H_g to the braid group B_n. We prove that this kernel is semi-direct product of free groups. Also, we introduce an algebra H_g,n(q), which is some analog of the Hecke algebra H_n(q), constructed by the braid group B_n.

Язык оригинала	английский
Название основной публикации	Algebraic Modeling of Topological and Computational Structures and Applications
Редакторы	S Lambropoulou, D Theodorou, P Stefaneas, LH Kauffman
Издатель	Springer New York LLC
Страницы	189-203
Число страниц	15
Том	219
ISBN (печатное издание)	9783319681023
DOI	https://doi.org/10.1007/978-3-319-68103-0_9
Состояние	Опубликовано - 2017
Событие	THALES Workshop on Algebraic Modeling of Topological and Computational Structures and Applications, AlModTopCom 2015 - Athens, Греция Продолжительность: 30 июн 2015 → 2 июл 2015

Серия публикаций

Название	Springer Proceedings in Mathematics & Statistics
Издатель	SPRINGER
Том	219
ISSN (печатное издание)	2194-1009

Конференция

Конференция	THALES Workshop on Algebraic Modeling of Topological and Computational Structures and Applications, AlModTopCom 2015
Страна	Греция
Город	Athens
Период	30.06.2015 → 02.07.2015

Доступ к документу

10.1007/978-3-319-68103-0_9

Link to publication in Scopus

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Цитировать

Bardakov, V. G. (2017). Braid groups in handlebodies and corresponding hecke algebras. В S. Lambropoulou, D. Theodorou, P. Stefaneas, & LH. Kauffman (Ред.), Algebraic Modeling of Topological and Computational Structures and Applications (Том 219, стр. 189-203). (Springer Proceedings in Mathematics & Statistics; Том 219). Springer New York LLC. https://doi.org/10.1007/978-3-319-68103-0_9

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Bardakov, VG 2017, Braid groups in handlebodies and corresponding hecke algebras. в S Lambropoulou, D Theodorou, P Stefaneas & LH Kauffman (ред.), Algebraic Modeling of Topological and Computational Structures and Applications. том. 219, Springer Proceedings in Mathematics & Statistics, том. 219, Springer New York LLC, стр. 189-203, THALES Workshop on Algebraic Modeling of Topological and Computational Structures and Applications, AlModTopCom 2015, Athens, Греция, 30.06.2015. https://doi.org/10.1007/978-3-319-68103-0_9

Braid groups in handlebodies and corresponding hecke algebras. / Bardakov, Valeriy G.

Algebraic Modeling of Topological and Computational Structures and Applications. ред. / S Lambropoulou; D Theodorou; P Stefaneas; LH Kauffman. Том 219 Springer New York LLC, 2017. стр. 189-203 (Springer Proceedings in Mathematics & Statistics; Том 219).

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

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AB - In this paper we study the kernel of the homomorphism Bg,n→Bn of the braid group Bg,n in the handlebody Hg to the braid group Bn. We prove that this kernel is semi-direct product of free groups. Also, we introduce an algebra Hg,n(q), which is some analog of the Hecke algebra Hn(q), constructed by the braid group Bn.

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Bardakov VG. Braid groups in handlebodies and corresponding hecke algebras. В Lambropoulou S, Theodorou D, Stefaneas P, Kauffman LH, редакторы, Algebraic Modeling of Topological and Computational Structures and Applications. Том 219. Springer New York LLC. 2017. стр. 189-203. (Springer Proceedings in Mathematics & Statistics). https://doi.org/10.1007/978-3-319-68103-0_9