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Representations of finite groups: Local cohomology and support
Representations of finite groups Local cohomology Commutative Algebra
2011/9/20
Abstract: These are the notes from an Oberwolfach Seminar which we ran from 23--29 May 2010.
Nonsmooth Formulation of the Support Vector Machine for a Neural Decoding Problem
Nonsmooth Formulation Support Vector Machine Neural Decoding Problem
2011/1/18
This paper formulates a generalized classification algorithm with an applica-tion to classifying (or ‘decoding’) neural activity in the brain. Medical doctors and researchers have long been interested...
Support convergence in the single ring theorem
Randommatrices non-commutativemeasure Schwinger–Dyson equation
2011/1/21
We study the eigenvalues of non-normal square matrices of the form An =UnTnVn with Un,Vn independent Haar distributed on the unitary group and Tn real diagonal. We show that when the empirical measure...
Cuspidal Multiple Structures on Smooth Algebraic Varieties as Support
Cuspidal Multiple Structures Smooth Algebraic Varieties
2010/11/24
We construct lci nilpotent scheme structures $Y \subset P$ on a smooth variety $X$ embedded in a smooth variety $P$, which are, locally, (i.e. in $\widehat{\mathcal O}_{p,P}$ ) given by ideals of the ...
On twin and anti-twin words in the support of the free Lie algebra
On twin anti-twin words the free Lie algebra
2010/11/11
Let $L_{K}(A)$ be the free Lie algebra on a finite alphabet $A$ over a commutative ring $K$ with unity. For a word $u$ in the free monoid $A^{*}$ let $\tilde{u}$ denote its reversal. Two words in $A^...
On cohomology and support varieties for Lie superalgebras
cohomology varieties Lie superalgebras
2010/12/8
Support varieties for Lie superalgebras over the complex numbers were introduced in [BKN1] using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings fo...
Multiplicity-free skew Schur functions with interval support
Skew Schur functions Littlewood–Richardson coefficients multiplicity–free
2010/12/9
It is known that the Schur expansion of a skew Schur function runs over the interval of partitions, equipped with dominance order, defined by the least and the most dominant Littlewood-Richardson fill...
Frame wavelets with compact support for $L^2(R^n)$
Fourier transform frame wavelet expansive matrix
2007/12/11
The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For...