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G. Belyi, Mathematics of the USSR: Izvestiya, 14:2
Original
1990
Earlier work this paper cites.
S. Kharchev, A. Marshakov, A. Mironov, A. Orlov, A. Zabrodin, Nucl.Phys., B366
1991
Earlier work this paper cites.
F. David, Mod.Phys.Lett. A5
1991
Earlier work this paper cites.
T. Morris, Nucl.Phys. b356
1991
Earlier work this paper cites.
F. David, Nucl.Phys. B257
1992
Earlier work this paper cites.
A. Gerasimov, A. Marshakov, A. Mironov, A. Morozov, A. Orlov, Nucl.Phys. B357
1993
Earlier work this paper cites.
A. Mironov, A. Morozov, L. Vinet, Teor.Mat.Fiz. 100
1998
Earlier work this paper cites.
A. Morozov, Phys.Usp.(UFN) 37 (1994) 1, hep-th/9303139; hep-th/9502091; hep-th/0502010 A. Mironov, Int.J.Mod.Phys. A9
2002
Earlier work this paper cites.
I. Gelfand, M. Kapranov, A. Zelevinsky, Discriminants, Resultants and Multidimensional Determinants
2007
Earlier work this paper cites.
D.E. Littlewood, The theory of group characters and matrix representations of groups
2009
Earlier work this paper cites.
R. Gurau, Commun.Math.Phys. 304
Original
2010
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2018

Itoyama, H., Mironov, A., Morozov, A.

We present a brief summary of the recent discovery of direct tensorial analogue of characters.

We distinguish three degrees of generalization: (1) $c$-number Kronecker characters made with the help of symmetric group characters and inheriting most of the nice properties of conventional Schur functions, except for forming a complete basis for the case of rank $r>2$ tensors: they are orthogonal, are eigenfunctions of appropriate cut-and-join operators and form a complete basis for the operators with non-zero Gaussian averages; (2) genuine matrix-valued tensorial quantities, forming an over-complete basis but difficult to deal with; and (3) intermediate tableau pseudo-characters, depending on Young tables rather than on just Young diagrams, in the Kronecker case, and on entire representation matrices, in the genuine one.

G. Belyi, Mathematics of the USSR: Izvestiya, 14:2
Original
1990
Earlier work this paper cites.
S. Kharchev, A. Marshakov, A. Mironov, A. Orlov, A. Zabrodin, Nucl.Phys., B366
1991
Earlier work this paper cites.
F. David, Mod.Phys.Lett. A5
1991
Earlier work this paper cites.
T. Morris, Nucl.Phys. b356
1991
Earlier work this paper cites.
F. David, Nucl.Phys. B257
1992
Earlier work this paper cites.
A. Gerasimov, A. Marshakov, A. Mironov, A. Morozov, A. Orlov, Nucl.Phys. B357
1993
Earlier work this paper cites.
A. Mironov, A. Morozov, L. Vinet, Teor.Mat.Fiz. 100
1998
Earlier work this paper cites.
A. Morozov, Phys.Usp.(UFN) 37 (1994) 1, hep-th/9303139; hep-th/9502091; hep-th/0502010 A. Mironov, Int.J.Mod.Phys. A9
2002
Earlier work this paper cites.
I. Gelfand, M. Kapranov, A. Zelevinsky, Discriminants, Resultants and Multidimensional Determinants
2007
Earlier work this paper cites.
D.E. Littlewood, The theory of group characters and matrix representations of groups
2009
Earlier work this paper cites.
R. Gurau, Commun.Math.Phys. 304
Original
2010
Earlier work this paper cites.