On presentations of Brauer-type monoids
Tóm tắt
Từ khóa
Tài liệu tham khảo
J. Baez: “Link invariants of finite type and perturbation theory”, Lett. Math. Phys., Vol. 26(1), (1992), pp. 43–51.
H. Barcelo and A. Ram: Combinatorial representation theory. New perspectives in algebraic combinatorics, Berkeley, CA, 1996–97, pp. 23–90.
J. Birman: “New points of view in knot theory”, Bull. Amer. Math. Soc. (N.S.), Vol. 28(2), (1993), pp. 253–287.
J. Birman and H. Wenzl: “Braids, link polynomials and a new algebra”, Trans. Amer. Math. Soc., Vol. 313(1), (1989), pp. 249–273.
M. Bloss: “The partition algebra as a centralizer algebra of the alternating group”, Comm. Algebra, Vol. 33(7), (2005), pp. 2219–2229.
R. Brauer: “On algebras which are connected with the semisimple continuous groups”, Ann. of Math. (2), Vol. 38(4), (1937), pp. 857–872.
D. FitzGerald: “A presentation for the monoid of uniform block permutations”, Bull. Aus. Math. Soc., Vol. 68, (2003), pp. 317–324.
D. FitzGerald and J. Leech: “Dual symmetric inverse monoids and representation theory”, J. Austral. Math. Soc. Ser. A, Vol. 64(3), (1998), pp. 345–367.
V.F.R. Jones: The Potts model and the symmetric group. Subfactors (Kyuzeso, 1993), World Sci. Publishing, River Edge, NJ, 1994, pp. 259–267.
S. Kerov: “Realizations of representations of the Brauer semigroup”, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), Vol. 164, (1987);
Differentsialnaya Geom. Gruppy Li i Mekh., Vol. IX, pp. 188–193, 199; translation in J. Soviet Math., Vol. 47(2), (1989), pp. 2503–2507.
S. Lipscomb: Symmetric inverse semigroups. Mathematical Surveys and Monographs, Vol. 46, American Mathematical Society, Providence, RI, 1996.
V. Maltcev: “Systems of generators, ideals and the principal series of the Brauer semigroup”, Proceedings of Kyiv University, Physical and Mathematical Sciences, Vol. 2, (2004), pp. 59–65.
V. Maltcev: “On one inverse subsemigroups of the semigroup ℭn”, to appear in Proceedings of Kyiv University.
V. Maltcev: On inverse partition semigroups IP x, preprint, Kyiv University, Kyiv, Ukraine, 2005.
P. Martin: “Temperley-Lieb algebras for nonplanar statistical mechanics — the partition algebra construction”, J. Knot Theory Ramifications, Vol. 3(1), (1994), pp. 51–82.
P. Martin and A. Elgamal: “Ramified partition algebras”, Math. Z., Vol. 246(3), (2004), pp. 473–500.
P. Martin and D. Woodcock: “On central idempotents in the partition algebra”, J. Algebra, Vol. 217(1), (1999), pp. 156–169.
V. Mazorchuk: “On the structure of Brauer semigroup and its partial analogue”, Problems in Algebra, Vol. 13, (1998), pp. 29–45.
V. Mazorchuk: “Endomorphisms of B n, PB n, and ℭn”, Comm. Algebra, Vol. 30(7), (2002), pp. 3489–3513.
A. Vernitski: “A generalization of symmetric inverse semigroups”, preprint 2005.
Ch. Xi: “Partition algebras are cellular”, Compositio Math., Vol. 119(1), (1999), pp. 99–109.