摘要: We show that rectangular Kronecker coefficients stabilize when the lengths of sides rectangle grow, and we give an explicit formula for limit values in terms invariants $\mathfrak{s}l_{n}$ .
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archives-ouvertes.fr参考文章(15)
Edward Formanek, The invariants of n×n matrices Springer, Berlin, Heidelberg. pp. 18- 43 ,(1987) , 10.1007/BFB0078804
Claudio Procesi, Lie Groups: An Approach through Invariants and Representations ,(2006)
Steven H. Weintraub, Representation Theory of Finite Groups: Algebra and Arithmetic ,(2003)
Gordon James, Adalbert Kerber, The representation theory of the symmetric group Cambridge University Press. ,(1984) , 10.1017/CBO9781107340732
Georgia Benkart, Stephen Doty, Derangements and tensor powers of adjoint modules for sl_n arXiv: Representation Theory. ,(2001)
Claudio Procesi, The invariants of $n\times n$ matrices Bulletin of the American Mathematical Society. ,vol. 82, pp. 891- 893 ,(1976) , 10.1090/S0002-9904-1976-14196-1
Ernesto Vallejo, A Stability Property for Coefficients in Kronecker Products of Complex $S_n$ Characters Electronic Journal of Combinatorics. ,vol. 16, pp. 22- ,(2009) , 10.37236/260
Peter Bürgisser, J. M. Landsberg, Laurent Manivel, Jerzy Weyman, An Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to $\mathbf{VP}\neq\mathbf{VNP}$ SIAM Journal on Computing. ,vol. 40, pp. 1179- 1209 ,(2011) , 10.1137/090765328
Michel Brion, Stable properties of plethysm : on two conjectures of Foulkes Manuscripta Mathematica. ,vol. 80, pp. 347- 371 ,(1993) , 10.1007/BF03026558
L. Manivel, A note on certain Kronecker coefficients Proceedings of the American Mathematical Society. ,vol. 138, pp. 1- 7 ,(2010) , 10.1090/S0002-9939-09-10086-2