Applications of minor-summation formula I. Littlewood's formulas

Journal of Algebra

Volumn 183, Issue 1, 1996, Pages 193-216

  Ishikawa, Masao ^a   Okada, Soichi ^b   Wakayama, Masato ^c  

^a TOTTORI UNIVERSITY   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

^c KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030191470     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0214     Document Type: Article

References (13)

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2. [I] M. Ishikawa, A remark on totally symmetric self-complementary plane partitions, preprint.
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4. [IW2] M. Ishikawa and M. Wakayama, Minor summation formula of Pfaffians and Schur function identities, Proc. Japan Acad. Ser. A 71 Math. Sci. (1995), 54-57.
5. [Kn] D. E. Knuth, Overlapping Pfaffians, Electron. J. Combin. 3 Foata Festschrift.
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7. [L] D. E. Littlewood, "The Theory of Group Characters and Matrix Representations of Groups," 2nd ed., Oxford Univ. Press, London, 1950.
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9. [O1] S. Okada, On the generating functions for certain classes of plane partitions, J. Combin. Theory Ser. A 51 (1989), 1-23.
10. [O2] S. Okada, Applications of minor-summation formulas to rectangular-shaped representations of classical groups, preprint.
11. [St] J. Stembridge, Nonintersecting paths, Pfaffians and plane partitions, Adv. in Math. 83 (1990), 96-131.
12. [Su] T. Sundquist, "Pfaffians, Involutions, and Schur Functions," Ph.D. thesis, University of Minnesota.
13. [W] H. Weyl, "The Classical Groups, Their Invariants and Representations," 2nd ed., Princeton Univ. Press, Princeton, NJ, 1946.