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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols
奇数秩 k标记 奇数杜菲符号 恒等式 不等式 全等
2023/4/23
In 2007, Andrews introduced the odd rank of odd Durfee symbols. Let N^0 (m,n) denote the number of odd Durfee symbols of n with odd rank m, and N^0 (r,m;n) be the number of odd Durfee symbols of n wit...
Mennicke symbols, K-cohomology and a Bass-Kubota theorem
Mennicke symbols K-cohomology Bass-Kubota theorem
2011/8/25
Abstract: If A is a smooth algebra of dimension d (greater or equal to 2) over a perfect field k of characteristic different from 2, then we show that the universal Mennicke symbol of length d+1 is is...
On lower eigenvalue estimates for Toeplitz operators with radial symbols in Bergman spaces
Bergman spaces Bargmann spaces Toeplitz operators
2011/2/21
We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such ope...
Unitary equivalence to a truncated Toeplitz operator: analytic symbols
Toeplitz operator model space truncated Toeplitz operator
2011/2/24
Unlike Toeplitz operators on H2, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Grounded Symbols in the Brain Computational Foundations for Perceptual Symbol System
Grounded Symbols Brain Computational Foundations Perceptual Symbol System
2010/11/15
We describe a mathematical models of grounded symbols in the brain. It also serves as a computational foundations for Perceptual Symbol System (PSS). This development requires new mathematical methods...
The concept of an order and its application for research of the deterministic chains of symbols
concept of an order deterministic chains of symbols
2010/11/29
The present work is dedicated to searching parameters, alternative to entropy, applicable for description of highly organized systems. The general concept has been offered, in which the system complex...
We consider three problems connected with coinvariant sub-spaces of the backward shift operator in Hardy spaces Hp:– properties of truncated Toeplitz operators;– Carleson-type embedding theorems for t...
Asymptotes in $SU(2)$ Recoupling Theory: Wigner Matrices, $3j$ Symbols, and Character Localization
SU(2) representation theory semiclassical analysis
2010/12/14
In this paper we employ a novel technique combining the Euler Maclaurin formula with the saddle point approximation method to obtain the asymptotic behavior (in the limit of large representation index...
Clebsch-Gordan Equalities that imply the Vanishing of Particular 6j Symbols
Clebsch-Gordan coefficients 6j symbols Regge symmetries angular momenta
2010/4/13
Three Clebsch-Gordan equalities and three individual Clebsh-Gordan relations are obtained by studying the non-accidental vanishing of certain 6j symbols.
We survey techniques to compute the action of the Hecke operators on the cohomology of arithmetic groups. These techniques can be seen as generalizations in different directions of the classical modul...
Polytypism of Micas: OD-Interpretation, Stacking Symbols, Symmetry Relations
Mica Order-disorder Polytypism Stacking symbol Symmetry
2012/2/7
From the symmetry point of view, micas may be classified as follows: those with all three octahedrally coordinated sites occupied by the same cation (homo-octahedral micas), those with only two of the...