Symplectic tensor invariants, wave graphs and S-tris

1998/03/23 by Aleksandrs Mihailovs, Mihailovs, Aleksandrs · 1 citation
Mathematics · #05E15 #15A69 #15A72 (Secondary) #22E45 #22E46 #22E47 (Primary) 05C30 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:05C30 #msc:05E15 #msc:15A69 #msc:15A72 #msc:22E45 #msc:22E46 #msc:22E47

paper · pdf · doi:10.48550/arxiv.math/9803102

16 pages, see also http://www.math.upenn.edu/~mihailov/papers.html

arxiv created 1998/03/23 · arxiv updated 2009/11/30

Abstract

The spaces of invariants of tensor powers of the defining representation of Sp(2n) are provided with the bases parametrized by symplectic wave graphs introduced here especially for this purpose. The proof utilizes a game similar to Tetris, named here S-tris. This work continues my previous work on the tensor invariants of SL(n), wave graphs and L-tris.

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