"Yokonuma-Hecke algebra"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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| (다른 사용자 한 명의 중간 판 하나는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
;def (Yokonuma--Hecke algebra) | ;def (Yokonuma--Hecke algebra) | ||
| − | The Yokonuma--Hecke algebra | + | The Yokonuma--Hecke algebra <math>Y_{d,n}</math> is generated by elements |
| − | + | :<math>g_1,\ldots,g_{n-1},t_1,\ldots,t_n,</math> | |
subject to the following defining relations : | subject to the following defining relations : | ||
| − | + | :<math> | |
\label{def-1} | \label{def-1} | ||
\begin{array}{rclcl} | \begin{array}{rclcl} | ||
| − | g_ig_j & = & g_jg_i &\ & \mbox{for | + | g_ig_j & = & g_jg_i &\ & \mbox{for </math>i,j=1,\ldots,n-1<math> such that </math>\vert i-j\vert > 1<math>,}\\ |
| − | g_ig_{i+1}g_i & = & g_{i+1}g_ig_{i+1} && \mbox{for | + | g_ig_{i+1}g_i & = & g_{i+1}g_ig_{i+1} && \mbox{for </math>i=1,\ldots,n-2<math>,} |
\end{array} | \end{array} | ||
| − | + | </math> | |
==articles== | ==articles== | ||
* Ivan Marin, Artin groups and Yokonuma-Hecke algebras, arXiv:1601.03191 [math.RT], January 13 2016, http://arxiv.org/abs/1601.03191 | * Ivan Marin, Artin groups and Yokonuma-Hecke algebras, arXiv:1601.03191 [math.RT], January 13 2016, http://arxiv.org/abs/1601.03191 | ||
| + | [[분류:migrate]] | ||
2020년 11월 13일 (금) 17:19 기준 최신판
introduction
- def (Yokonuma--Hecke algebra)
The Yokonuma--Hecke algebra \(Y_{d,n}\) is generated by elements \[g_1,\ldots,g_{n-1},t_1,\ldots,t_n,\] subject to the following defining relations : \[ \label{def-1} \begin{array}{rclcl} g_ig_j & = & g_jg_i &\ & \mbox{for \]i,j=1,\ldots,n-1\( such that \)\vert i-j\vert > 1\(,}\\ g_ig_{i+1}g_i & = & g_{i+1}g_ig_{i+1} && \mbox{for \)i=1,\ldots,n-2\(,} \end{array} \)
articles
- Ivan Marin, Artin groups and Yokonuma-Hecke algebras, arXiv:1601.03191 [math.RT], January 13 2016, http://arxiv.org/abs/1601.03191