Skip to main content
Log in

Algebras in plancherel duality and algebraic combinatorics

  • Published:
Functional Analysis and Its Applications Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. E. Bannai and T. Ito, Algebraic Combinatorics I, Association Schemes, Benjamin/Comings, London-Amsterdam-Don Mills, Ont.-Sydney-Tokyo, 1984.

    MATH  Google Scholar 

  2. V. M. Buchshtaber, S. A. Evdokimov, I. N. Ponomarenko, and A. M. Vershik, “Combinatorial algebras and multivalued involutory groups,” Funkts. Anal. Prilozhen.,30, No. 3, 12–18 (1996).

    Google Scholar 

  3. S. A. Evdokimov, I. N. Ponomarenko, and A. M. Vershik, “C-algebras and algebras in Plancherel duality,” Zap. Nauchn. Sem. POMI,240, 53–66 (1997).

    MATH  Google Scholar 

  4. D. G. Higman, “Coherent algebras,” Linear Algebra Appl.,93, 209–239 (1987).

    Article  MATH  MathSciNet  Google Scholar 

  5. S. V. Kerov, “Duality of finite-dimensional *-algebras,” Vestn. Leningr. Univ., Ser. Matem.,7, 23–29 (1974).

    MATH  MathSciNet  Google Scholar 

  6. Ch. Kassel, Quantum Groups, Springer-Verlag, 1994.

  7. A. M. Vershik, “Geometric theory of states, the von Neumann boundary, and the duality ofC *-algebras,” Zap. Nauchn. Sem. LOMI,29, 147–154 (1972).

    MATH  Google Scholar 

  8. B. Ju. Weisfeiler (ed.), On Construction and Identification of Graphs, Springer Lecture Notes, Vol. 558, 1976.

Download references

Authors

Additional information

Dedicated to V. I. Arnold on the occasion of his sixtieth birthday

St. Petersburg Institute for Informatics and Automation of RAS; St. Petersburg division of the V. A. Steklov Institute of Mathematics. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 31, No. 4, pp. 34–46, October–December, 1997.

Translated by S. A. Evdokimov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Evdokimov, S.A., Ponomarenko, I.N. & Vershik, A.M. Algebras in plancherel duality and algebraic combinatorics. Funct Anal Its Appl 31, 252–261 (1997). https://doi.org/10.1007/BF02466057

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02466057

Keywords

Navigation