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Bethe Ansatz and the geography of rigged strings

Tadeusz Lulek (2007)

Banach Center Publications

We demonstrate the way in which composition of two famous combinatorial bijections, of Robinson-Schensted and Kerov-Kirillov-Reshetikhin, applied to the Heisenberg model of magnetic ring with spin 1/2, defines the geography of rigged strings (which label exact eigenfunctions of the Bethe Ansatz) on the classical configuration space (the set of all positions of the system of r reversed spins). We point out that each l-string originates, in the language of this bijection, from an island of l consecutive...

Bilinear forms for SL(2,q), An and similar groups.

Alexandre Turull (1992)

Publicacions Matemàtiques

The set of invariant symmetric bilinear forms on irreducible modules over fields of characteristic zero for certain groups is studied. Results are obtained under the presence in a finite group of elements of order four whose square is central. In particular, we find that the relevant modules for the groups mentioned in the title always accept an invariant symmetric bilinear form under which the module admits an orthonormal basis.

Displaying 1 – 6 of 6

Bethe Ansatz and the geography of rigged strings

Bilinear forms for SL(2,q), An and similar groups.

Blocks and Defect Groups of Monomial Groups.

Blocks for symmetric groups and their covering groups and quadratic forms.

Branching rules for modular representations of symmetric groups, II.

Brauer Correspondence and Characters of Height Zero of Monomial Groups.

Currently displaying 1 – 6 of 6