Results 21 to 30 of about 1,037 (65)
Cluster Structures on Double Bott–Samelson Cells
Forum of Mathematics, Sigma, 2021 Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
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On fuzzy subbundles of vector bundles
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 40, Page 2553-2565, 2003., 2003 This paper considers fuzzy subbundles of a vector bundle. We define the operations sum, product, tensor product, Hom, and intersection of fuzzy subbundles and in each case, we characterize the corresponding flag of vector subbundles. We then propose two alternative definitions of integrability on fuzzy subbundles of a given type and discuss their ...
V. Murali, G. Lubczonok
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Equivalence classes of the 3 rd Grassman space over a 5‐dimensional vector space
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 3, Page 297-305, 1978., 1978 An equivalence relation is defined on ΛrV, the rth Grassman space over V and the problem of the determnation of the equivalence classes defined by this relation is considered. For any r and V, the decomposable elements form an equivalence class. For r = 2, the length of the element determines the equivalence class that it is in.
Kuldip Singh
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Linear difference equations, frieze patterns, and the combinatorial Gale transform
Forum of Mathematics, Sigma, 2014 We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points in ...
SOPHIE MORIER-GENOUD +3 more
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Trivial Witt groups of flag varieties
, 2011 Let G be a split semi-simple linear algebraic group over a field, let P be a parabolic subgroup and let L be a line bundle on the projective homogeneous variety G/P.
Baptiste Calmès +3 more
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EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS
Forum of Mathematics, Pi, 2017 We address a unification of the Schubert calculus problems solved by Buch [A Littlewood–Richardson rule for the $K$ -theory of Grassmannians, Acta Math. 189 (
OLIVER PECHENIK, ALEXANDER YONG
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On the Factorization of the Poincaré Polynomial: A Survey [PDF]
, 2004 2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30.Factorization is an important and very difficult problem in mathematics. Finding prime factors of a given positive integer n, or finding the roots of the polynomials in the complex plane
Akyıldız, Ersan
core
Harish-Chandra's volume formula via Weyl's Law and Euler-Maclaurin formula
, 2013 Harish-Chandra's volume formula shows that the volume of a flag manifold $G/T$, where the measure is induced by an invariant inner product on the Lie algebra of $G$, is determined up to a scalar by the algebraic properties of $G$.
Atiyah +18 more
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Poisson structures compatible with the cluster algebra structure in Grassmannians
, 2009 We describe all Poisson brackets compatible with the natural cluster algebra structure in the open Schubert cell of the Grassmannian $G_k(n)$ and show that any such bracket endows $G_k(n)$ with a structure of a Poisson homogeneous space with respect to ...
Gekhtman, Michael +3 more
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Generic stabilizers for simple algebraic groups acting on orthogonal and symplectic Grassmannians
Forum of Mathematics, SigmaWe consider faithful actions of simple algebraic groups on self-dual irreducible modules and on the associated varieties of totally singular subspaces, under the assumption that the dimension of the group is at least as large as the dimension of the ...
Aluna Rizzoli
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