Výsledky vyhledávání - "Chastkofsky, Leonard"

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Second cohomology for finite groups of Lie type

Autor: Boe, Brian D., Bonsignore, Brian, Brons, Theresa, Carlson, Jon F., Chastkofsky, Leonard, Drupieski, Christopher M., Johnson, Niles, Nakano, Daniel K., Li, Wenjing, Luu, Phong Thanh, Macedo, Tiago, Ngo, Nham Vo, Samples, Brandon L., Talian, Andrew J., Townsley, Lisa, Wyser, Benjamin J.

Publikováno v: J. Algebra 360 (2012), 21-52

Let $G$ be a simple, simply-connected algebraic group defined over $\mathbb{F}_p$. Given a power $q = p^r$ of $p$, let $G(\mathbb{F}_q) \subset G$ be the subgroup of $\mathbb{F}_q$-rational points. Let $L(\lambda)$ be the simple rational $G$-module o

Externí odkaz: http://arxiv.org/abs/1110.0228

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First cohomology for finite groups of Lie type: simple modules with small dominant weights

Autor: Boe, Brian D., Brunyate, Adrian M., Carlson, Jon F., Chastkofsky, Leonard, Drupieski, Christopher M., Johnson, Niles, Jones, Benjamin F., Li, Wenjing, Nakano, Daniel K., Ngo, Nham Vo, Nguyen, Duc Duy, Samples, Brandon L., Talian, Andrew J., Townsley, Lisa, Wyser, Benjamin J.

Publikováno v: Trans. Amer. Math Soc. 365 (2013), 1025-1050

Let $k$ be an algebraically closed field of characteristic $p > 0$, and let $G$ be a simple, simply connected algebraic group defined over $\mathbb{F}_p$. Given $r \geq 1$, set $q=p^r$, and let $G(\mathbb{F}_q)$ be the corresponding finite Chevalley

Externí odkaz: http://arxiv.org/abs/1010.1203

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Cohomology of quantum groups: An analog of Kostant's Theorem

Autor: University of Georgia VIGRE Algebra Group, Bagci, Irfan, Boe, Brian D., Chastkofsky, Leonard, Connell, Benjamin, Jones, Benjamin, Li, Wenjing, Nakano, Daniel K., Platt, Kenyon J., Shin, Jae-Ho, Wright, Caroline B.

Publikováno v: Proc. Amer. Math. Soc. 138 (2010), 85-99

We prove the analog of Kostant's Theorem on Lie algebra cohomology in the context of quantum groups. We prove that Kostant's cohomology formula holds for quantum groups at a generic parameter $q$, recovering an earlier result of Malikov in the case w

Externí odkaz: http://arxiv.org/abs/0809.0838

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