Abstract The purpose of this paper is to propose a sheaf theoretic approach the theory quantum principal bundles over non affine bases. We study noncommutative corresponding $$G \rightarrow G/P$$ G → / P , where G semisimple group and P...

in this paper, we extend the construction of a fuzzy subgroup generated by a fuzzy subset to $l$-setting. this construction is illustrated by an example. we also prove that for an $l$-subset of a group, the subgroup generated by its level subset is the level subset of the subgroup generated by that $l$-subset provided the given $l$-subset possesses sup-property.

In this paper, the unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup is determined. explicit determination external approach used, which represents basic for finding dual, and consists two main steps: a complete description non-unitary extraction classes unitarizable representations among obtained irreducible subquotients. We expect that our results will provide deep...

In this paper, we consider the GIT quotients of Schubert varieties for action a maximal torus. We describe minuscule which semistable locus is contained in smooth locus. As consequence, study smoothness torus Grassmannian. also prove that quotient any variety homogeneous space [Formula: see text] projectively normal with respect to line bundle and projective space, where parabolic subgroup are ...

We use the gluing construction introduced by Jia Huang to explore rings of invariants for a range modular representations. construct generating sets maximal parabolic subgroups finite symplectic group and their common Sylow p -subgroup. also investigate singular classical groups. introduce this compute invariant field fractions thin faithful representations semidirect products determine minimum...

Let G be a classical complex Lie group, P any parabolic subgroup of G, and G/P the corresponding partial flag variety. We prove an explicit combinatorial Giambelli formula which expresses an arbitrary Schubert class in H(G/P ) as a polynomial in certain special Schubert class generators. Our formula extends to one that applies to the torus-equivariant cohomology ring of G/P and to the setting o...

In this note we prove two related results. First, show that for certain Markov interval maps with infinitely many branches the upper box dimension of boundary can be read from pressure geometric potential. Secondly, set iterates a point in H^n respect to parabolic subgroup isometries equals critical exponent Poincare series associated group. This establishes relationship between entropy at infi...

Let Cox(Sr) be the homogeneous coordinate ring of the blow-up Sr of P 2 in r general points, i.e., a smooth Del Pezzo surface of degree 9 − r. We prove that for r ∈ {6, 7}, Proj(Cox(Sr)) can be embedded into Gr/Pr, where Gr is an algebraic group with root system given by the primitive Picard lattice of Sr and Pr ⊂ Gr is a certain maximal parabolic subgroup.