Advanced Studies in Pure Mathematics

Schur’s $Q$-functions and Twisted Affine Lie Algebras

Tatsuhiro Nakajima and Hiro-Fumi Yamada

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Weight vectors of the basic representations of $A^{(2)}_{2\ell}$ and $D^{(2)}_{\ell+1}$ are studied. They are expressed in terms of Schur’s $Q$-functions. The up and down motion along the string of the fundamental imaginary root is described as a combinatorial game.

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Combinatorial Methods in Representation Theory, K. Koike, M. Kashiwara, S. Okada, I. Terada and H.-F. Yamada, eds. (Tokyo: Mathematical Society of Japan, 2000), 241-259

Received: 24 December 1998
First available in Project Euclid: 20 August 2018

Permanent link to this document euclid.aspm/1534789262

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Nakajima, Tatsuhiro; Yamada, Hiro-Fumi. Schur’s $Q$-functions and Twisted Affine Lie Algebras. Combinatorial Methods in Representation Theory, 241--259, Mathematical Society of Japan, Tokyo, Japan, 2000. doi:10.2969/aspm/02810241.

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