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pro vyhledávání: '"Ngo, Nham V."'
In this paper we determine, for all $r$ sufficiently large, the irreducible component(s) of maximal dimension of the variety of commuting $r$-tuples of nilpotent elements of $\mathfrak{gl}_n$. Our main result is that in characteristic $\neq 2,3$, thi
Externí odkaz:
http://arxiv.org/abs/2105.07918
Let $SL_2$ be the rank one simple algebraic group defined over an algebraically closed field $k$ of characteristic $p>0$. The paper presents a new method for computing the dimension of the cohomology spaces $\text{H}^n(SL_2,V(m))$ for Weyl $SL_2$-mod
Externí odkaz:
http://arxiv.org/abs/1508.05534
Autor:
Ngo, Nham V.
The paper studies the dimensions of irreducible components of commuting varieties of (restricted) nilpotent $r$-tuples in a classical Lie algebra $\mathfrak{g}$ defined over an algebraically closed field $k$. As applications, we obtain some new resul
Externí odkaz:
http://arxiv.org/abs/1401.6820
Autor:
Ngo, Nham V.
Let $G$ be a semisimple algebraic group defined over an algebraically closed field of characteristic 0 and $P$ be a parabolic subgroup of $G$. Let $M$ be a $P$-module and $V$ be a $P$-stable closed subvariety of $M$. We show in this paper that if the
Externí odkaz:
http://arxiv.org/abs/1309.7481
Autor:
Ngo, Nham V., Šivic, Klemen
Let $N(d,n)$ be the variety of all $d$-tuples of commuting nilpotent $n\times n$ matrices. It is well-known that $N(d,n)$ is irreducible if $d=2$, if $n\le 3$ or if $d=3$ and $n=4$. On the other hand $N(3,n)$ is known to be reducible for $n\ge 13$. W
Externí odkaz:
http://arxiv.org/abs/1308.4438
Autor:
Guralnick, Robert M., Ngo, Nham V.
Let $\N_n$ be the set of nilpotent $n$ by $n$ matrices over an algebraically closed field $k$. For each $r\ge 2$, let $C_r(\N_n)$ be the variety consisting of all pairwise commuting $r$-tuples of nilpotent matrices. It is well-kown that $C_2(\N_n)$ i
Externí odkaz:
http://arxiv.org/abs/1308.2420
Autor:
Ngo, Nham V.
Let $\mathfrak{g}$ be a simple Lie algebra defined over an algebraically closed field $k$ of characteristic $p$. Fix an integer $r>1$ and suppose that $V_1,\ldots,V_r$ are irreducible closed subvarieties of $\mathfrak{g}$. Let $C(V_1,\ldots,V_r)$ be
Externí odkaz:
http://arxiv.org/abs/1301.2712
Autor:
Ngo, Nham V.
Let $G$ be a simple algebraic group defined over an algebraically closed field $k$ of characteristic $p$ and let $\g$ be the Lie algebra of $G$. It is well known that for $p$ large enough the spectrum of the cohomology ring for the $r$-th Frobenius k
Externí odkaz:
http://arxiv.org/abs/1209.1659
Autor:
Ngo, Nham V.
Publikováno v:
Journal of Algebra, 396 (2013), 39-60
Let $(SL_2)_r$ be the $r$-th Frobenius kernels of the group scheme $SL_2$ defined over an algebraically field of characteristic $p>2$. In this paper we give for $r\ge 1$ a complete description of the cohomology groups for $(SL_2)_r$. We also prove th
Externí odkaz:
http://arxiv.org/abs/1209.1662
Publikováno v:
Transform. Groups 17 (2012), no. 2, 393-416
In this paper we study the structure of cohomology spaces for the Frobenius kernels of unipotent and parabolic algebraic group schemes and of their quantum analogs. Given a simple algebraic group $G$, a parabolic subgroup $P_J$, and its unipotent rad
Externí odkaz:
http://arxiv.org/abs/1007.3479