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Volumn 113, Issue 5, 2006, Pages 866-881

Möbius functions and semigroup representation theory

Author keywords

Inverse semigroups; M bius functions; Random walks on semigroups; Representation theory; Semigroup algebras

Indexed keywords


EID: 33646807498     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2005.08.004     Document Type: Article
Times cited : (79)

References (33)
  • 2
    • 0030519219 scopus 로고    scopus 로고
    • A syntactical proof of locality of DA
    • Almeida J. A syntactical proof of locality of DA. Internat. J. Algebra Comput. 6 (1996) 165-177
    • (1996) Internat. J. Algebra Comput. , vol.6 , pp. 165-177
    • Almeida, J.1
  • 3
    • 33646786946 scopus 로고    scopus 로고
    • J. Almeida, S.W. Margolis, B. Steinberg, M.V. Volkov, Representation theory of finite semigroups, semigroup radicals and formal language theory, preprint 2004.
  • 4
    • 0001113836 scopus 로고    scopus 로고
    • A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements
    • Bidigare P., Hanlon P., and Rockmore D. A combinatorial description of the spectrum for the Tsetlin library and its generalization to hyperplane arrangements. Duke Math. J. 99 (1999) 135-174
    • (1999) Duke Math. J. , vol.99 , pp. 135-174
    • Bidigare, P.1    Hanlon, P.2    Rockmore, D.3
  • 5
    • 0034562544 scopus 로고    scopus 로고
    • Semigroups, rings, and Markov chains
    • Brown K. Semigroups, rings, and Markov chains. J. Theoret. Probab. 13 (2000) 871-938
    • (2000) J. Theoret. Probab. , vol.13 , pp. 871-938
    • Brown, K.1
  • 6
    • 33646757022 scopus 로고    scopus 로고
    • K. Brown, Semigroup and ring theoretical methods in probability, in: V. Dlab (Ed.), Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry, Fields Inst. Commun., vol. 40, American Mathematical Society, Providence, RI, 2004, pp. 3-26.
  • 7
    • 33646774109 scopus 로고    scopus 로고
    • A.H. Clifford, G.B. Preston, The Algebraic Theory of Semigroups, Mathematical Surveys vols. 1, 7, American Mathematical Society, Providence, RI, 1961.
  • 8
    • 33646792752 scopus 로고    scopus 로고
    • M. Hall, Combinatorial Theory, Reprint of the 1986 second edition, Wiley Classics Library, A Wiley-Interscience Publication, Wiley, New York, 1998.
  • 9
    • 0002588015 scopus 로고
    • Finite dimensional convolution algebras
    • Hewitt E., and Zuckerman H.S. Finite dimensional convolution algebras. Acta Math. 93 (1955) 67-119
    • (1955) Acta Math. , vol.93 , pp. 67-119
    • Hewitt, E.1    Zuckerman, H.S.2
  • 13
    • 0007275877 scopus 로고
    • Characters of finite semigroups
    • McAlister D.B. Characters of finite semigroups. J. Algebra 22 (1972) 183-200
    • (1972) J. Algebra , vol.22 , pp. 183-200
    • McAlister, D.B.1
  • 15
    • 84885969396 scopus 로고
    • Matrix representations of semigroups
    • Munn W.D. Matrix representations of semigroups. Proc. Cambrdige Philos. Soc. 53 (1957) 5-12
    • (1957) Proc. Cambrdige Philos. Soc. , vol.53 , pp. 5-12
    • Munn, W.D.1
  • 16
    • 84975965912 scopus 로고
    • The characters of the symmetric inverse semigroup
    • Munn W.D. The characters of the symmetric inverse semigroup. Proc. Cambridge Philos. Soc. 53 (1957) 13-18
    • (1957) Proc. Cambridge Philos. Soc. , vol.53 , pp. 13-18
    • Munn, W.D.1
  • 21
    • 0001287678 scopus 로고
    • Analogue of the Bruhat decomposition for algebraic monoids
    • Renner L.E. Analogue of the Bruhat decomposition for algebraic monoids. J. Algebra 101 (1986) 303-338
    • (1986) J. Algebra , vol.101 , pp. 303-338
    • Renner, L.E.1
  • 22
    • 33646809904 scopus 로고    scopus 로고
    • L.E. Renner, Linear algebraic monoids, Encyclopaedia of Mathematical Sciences, vol. 134, Invariant Theory and Algebraic Transformation Groups 5, Springer, Berlin, 2005.
  • 23
    • 33646785536 scopus 로고
    • Characters and complexity of finite semigroups
    • Rhodes J. Characters and complexity of finite semigroups. J. Combinatorial Theory 6 (1969) 67-85
    • (1969) J. Combinatorial Theory , vol.6 , pp. 67-85
    • Rhodes, J.1
  • 24
    • 0007333329 scopus 로고
    • Elementary representation and character theory of finite semigroups and its application
    • Rhodes J. (Ed), World Science Publishing, River Edge, NJ
    • Rhodes J., and Zalcstein Y. Elementary representation and character theory of finite semigroups and its application. In: Rhodes J. (Ed). Monoids and Semigroups with Applications, Berkeley, CA, 1989 (1991), World Science Publishing, River Edge, NJ 334-367
    • (1991) Monoids and Semigroups with Applications, Berkeley, CA, 1989 , pp. 334-367
    • Rhodes, J.1    Zalcstein, Y.2
  • 26
    • 0012947185 scopus 로고
    • On the theory of inverse semigroups and generalized groups
    • Schein B.M. On the theory of inverse semigroups and generalized groups. Amer. Math. Transl. (2) 113 (1979) 89-122
    • (1979) Amer. Math. Transl. (2) , vol.113 , pp. 89-122
    • Schein, B.M.1
  • 27
    • 4243650833 scopus 로고
    • over(D, -) représentation des demi-groupes
    • Schützenberger M.-P. over(D, -) représentation des demi-groupes. C. R. Acad. Sci. Paris 244 (1957) 1994-1996
    • (1957) C. R. Acad. Sci. Paris , vol.244 , pp. 1994-1996
    • Schützenberger, M.-P.1
  • 28
    • 0002948238 scopus 로고
    • Sur le produit de concatenation non ambigu
    • Schützenberger M.P. Sur le produit de concatenation non ambigu. Semigroup Forum 13 (1976) 47-75
    • (1976) Semigroup Forum , vol.13 , pp. 47-75
    • Schützenberger, M.P.1
  • 29
    • 33646794200 scopus 로고
    • The theory of characters of finite commutative semigroups
    • Schwarz S. The theory of characters of finite commutative semigroups. Czechoslovak Math. J. 3 (1953) 365-383
    • (1953) Czechoslovak Math. J. , vol.3 , pp. 365-383
    • Schwarz, S.1
  • 30
    • 0000478954 scopus 로고
    • The Burnside algebra of a finite group
    • Solomon L. The Burnside algebra of a finite group. J. Combin. Theory 2 (1967) 603-615
    • (1967) J. Combin. Theory , vol.2 , pp. 603-615
    • Solomon, L.1
  • 31
    • 0001877621 scopus 로고
    • The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
    • Solomon L. The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field. Geom. Dedicata 36 (1990) 15-49
    • (1990) Geom. Dedicata , vol.36 , pp. 15-49
    • Solomon, L.1
  • 32
    • 0037110385 scopus 로고    scopus 로고
    • Representations of the rook monoid
    • Solomon L. Representations of the rook monoid. J. Algebra 256 (2002) 309-342
    • (2002) J. Algebra , vol.256 , pp. 309-342
    • Solomon, L.1
  • 33
    • 33646805902 scopus 로고    scopus 로고
    • R. Stanley, Enumerative Combinatorics, vol. 1, Cambridge Studies in Advanced Mathematics, vol. 49, Cambridge University Press, 1997, with a foreword by Gian-Carlo Rota, corrected reprint of the 1986 original.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.