Global ETD Search
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Showing 1 to 8 of 8 for “"Triangular Matrices"”.
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On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution
… of conjugacy classes of $n\times n$ matrices to (block) upper triangular matrices up to conjugation by invertible (block) upper triangular matrices. With this notion in mind, we describe the ring of invariant polynomials for interesting families of quivers, namely, finite $ADE$-Dynkin …
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A Review of Some Important Conclusions about the Paving Conjecture
… is equivalent to the Paving Conjecture for the triangular matrices, and the result that self-adjoint matrices with all entries non-negative are pavable.</p>
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Some New Results on Difference Equations of Convolution Type
… provide some new bounds for inverses of positive triangular matrices with monotonic column entries. We also refine a result of Vecchio and Mallik. This new result is shown to be in a sense best possible under the given constraints.
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Infinitesimal Probability Theory with Amalgamation
… over an algebra of $2\times 2$ upper triangular matrices. Then we construct the corresponding operator-valued infinitesimal cumulants for each notion of independence; moreover, we show that the infinitesimal free (respectively Boolean) independence in the operator-valued framework is …
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Differential identities and almost polynomial growth. Star algebras and cocharacters.
… identities of the algebra of $2\times 2$ upper triangular matrices over a field of characteristic zero when two distinct Lie algebras of derivations act on it. We explicitly determine a basis of the corresponding differential identities, the sequence of codimensions and the sequence of …
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Compact Symmetric Spaces, Triangular Factorization, and Cayley Coordinates
… : uK → uu⁻ᶿ with the strata of the Birkhoff (or triangular, or LDU) decomposition G = ⫫(w∈W) ∑(G/w), ∑(G/w) = N⁻wHN⁺ relative to a θ-stable decomposition of the Lie algebra, g = n⁻ ⊕h ⊕ n⁺. For a generic element g in this intersection, g ∈ Φ(U/K) ∩ ∑(G/1), this yields a unique triangular …
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Stability of the Bruhat decomposition
… is a unique permutation matrix and V,U are upper triangular matrices. When ITTVII is lower triangular and U has unit diagonal, such a decomposition is called the left Bruhat decomposition of A. The Bruhat decomposition, known from the theory of linear algebraic groups, was discussed by Kolotilina …
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ON THE LYAPUNOV-TYPE DIAGONAL STABILITY
… to common diagonal Lyapunov solutions on two matrices of order one less. An enhanced statement of this result based on the Schur complement formulation is presented here along with a shorter and purely matrix-theoretic proof. We develop a number of extensions to this result, and formulate the …