Results 21 to 30 of about 1,061 (68)
Isometry Lie algebras of indefinite homogeneous spaces of finite volume
Abstract Let g be a real finite‐dimensional Lie algebra equipped with a symmetric bilinear form ⟨·,·⟩. We assume that ⟨·,·⟩ is nil‐invariant. This means that every nilpotent operator in the smallest algebraic Lie subalgebra of endomorphisms containing the adjoint representation of g is an infinitesimal isometry for ⟨·,·⟩.
Oliver Baues+2 more
wiley +1 more source
On fuzzy subbundles of vector bundles
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
wiley +1 more source
On the stability of harmonic maps under the homogeneous Ricci flow
In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow.We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not ...
Prado Rafaela F. do, Grama Lino
doaj +1 more source
Equivalence classes of the 3 rd Grassman space over a 5‐dimensional vector space
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
wiley +1 more source
On the singular locus of Grassmann secant varieties
— Let X ⊂ PN be an irreducible non-degenerate variety. If the (h, k)-Grassmann secant variety Gh,k(X) of X is not the whole Grassmannian G(h, N), we have that the singular locus of Gh,k(X) contains Gh,k−1(X). Moreover, if X is a smooth curve without (2k +
Filip Cools
semanticscholar +1 more source
Base subsets of polar Grassmannians [PDF]
Let $\Delta$ be a thick building of type $\textsf{X}_{n}=\textsf{C}_{n},\textsf{D}_{n}$. Let also ${\mathcal G}_k$ be the Grassmannian of $k$-dimensional singular subspaces of the associated polar space $\Pi$ (of rank $n$). We write ${\mathfrak G}_k$ for
Pankov, Mark
core +3 more sources
Linear difference equations, frieze patterns, and the combinatorial Gale transform
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
doaj +1 more source
Trivial Witt groups of flag varieties
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
core +2 more sources
Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras
All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions.
K. Goodearl, M. Yakimov
semanticscholar +1 more source
EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS
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
doaj +1 more source