Results 31 to 40 of about 285 (163)

On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces

, 2013
Let g=g0⊕g1 be a Z2-graded Lie algebra. We study the posets of abelian subalgebras of g1 which are stable w. r. t. a Borel subalgebra of g0. In particular, we find a natural parametrization of maximal elements and dimension formulas for them.
P. Cellini, MÖSENEDER FRAJRIA, PIERLUIGI, P. Moseneder Frajria, M. Pasquali, Marco Pasquali, PAPI, Paolo, Paolo Papi, Paola Cellini   +7 more
core   +1 more source

GL‐algebras in positive characteristic II: The polynomial ring

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley   +1 more source

Right coideal subalgebras of the Borel part of a quantized enveloping algebra

, 2010
For the Borel part of a quantized enveloping algebra, we classify all right coideal subalgebras for which the intersection with the coradical is a Hopf algebra.
S. Kolb, Heckenberger, I., Kolb, S., I. Heckenberger   +3 more
core   +1 more source

Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi, Louis‐Hadrien Robert, Joshua Sussan, Emmanuel Wagner   +3 more
wiley   +1 more source

On Borel subalgebras of quantum groups

Communications in Contemporary Mathematics
For a quantum group, we study those right coideal subalgebras, for which all irreducible representations are one-dimensional. If a right coideal subalgebra is maximal with this property, then we call it a Borel subalgebra. Besides the positive part of the quantum group and its reflections, we find new unfamiliar Borel subalgebras, for example, ones ...
Simon Lentner, Karolina Vocke
openaire   +2 more sources

Triangular decomposition of right coideal subalgebras

, 2010
Let g be a Kac–Moody algebra. We show that every homogeneous right coideal subalgebra U of the multiparameter version of the quantized universal enveloping algebra Uq(g), qm≠1 containing all group-like elements has a triangular decomposition U=U−⊗k[F]k[H]
Kharchenko, V.K., V. K. Kharchenko
core   +1 more source

Genus bounds from unrolled quantum groups at roots of unity

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract For any simple complex Lie algebra g$\mathfrak {g}$, we show that the degrees of the “ADO” link polynomials coming from the unrolled restricted quantum group U¯qH(g)$\overline{U}^H_q(\mathfrak {g})$ at a root of unity give lower bounds to the Seifert genus of the link.
Daniel López Neumann, Roland van der Veen   +1 more
wiley   +1 more source

Deformations of Anosov subgroups: Limit cones and growth indicators

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley   +1 more source

Exact Borel subalgebras, idempotent quotients and idempotent subalgebras

Mathematische Zeitschrift
Abstract This article studies the compatibility of Koenig’s notion of an exact Borel subalgebra of a quasi-hereditary or, more generally, standardly stratified algebra with taking idempotent subalgebras or quotients.
Conde, Teresa, Külshammer, Julian
openaire   +3 more sources

Parabolic subgroups in characteristics 2 and 3

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley   +1 more source