"Tilting modules for quantum groups"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| 4번째 줄: | 4번째 줄: | ||
* Weyl modules : quotients of Verma modules | * Weyl modules : quotients of Verma modules | ||
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| − | W_{\lambda}=M_{\lambda}/\ | + | W_{\lambda}=M_{\lambda}/\operatorname{span}(M_{s_i\cdot \lambda}) |
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* a tilting module is a module $T$ that admies a filtration whose associated graded pieces are Weyl modules and that admits another filtration whose associated graded are dual Weyl modules | * a tilting module is a module $T$ that admies a filtration whose associated graded pieces are Weyl modules and that admits another filtration whose associated graded are dual Weyl modules | ||
2013년 6월 26일 (수) 02:41 판
introduction
- modules for $U_q(\mathfrak{g})$
- Verma modules $M_{\lambda}=U_q(\mathfrak{g})\otimes_{U_q(\mathfrak{b})}\mathbb{C}_{\lambda}$
- Weyl modules : quotients of Verma modules
$$ W_{\lambda}=M_{\lambda}/\operatorname{span}(M_{s_i\cdot \lambda}) $$
- a tilting module is a module $T$ that admies a filtration whose associated graded pieces are Weyl modules and that admits another filtration whose associated graded are dual Weyl modules