Homogeneous representations of Khovanov–Lauda Algebras

Kleshchev, Alexander, and Ram, Arun. "Homogeneous representations of Khovanov–Lauda Algebras." Journal of the European Mathematical Society 012.5 (2010): 1293-1306. <http://eudml.org/doc/277540>.

@article{Kleshchev2010,
abstract = {We construct irreducible graded representations of simply laced Khovanov–Lauda algebras which are concentrated in one degree. The underlying combinatorics of skew shapes and standard tableaux corresponding to arbitrary simply laced types has been developed previously by Peterson, Proctor and Stembridge. In particular, the Peterson–Proctor hook formula gives the dimensions of the homogeneous irreducible modules corresponding to straight shapes.},
author = {Kleshchev, Alexander, Ram, Arun},
journal = {Journal of the European Mathematical Society},
keywords = {irreducible graded representations; simply laced Khovanov-Lauda algebras; skew shapes; standard tableaux; homogeneous irreducible modules; irreducible graded representations; simply laced Khovanov-Lauda algebras; skew shapes; standard tableaux; homogeneous irreducible modules},
language = {eng},
number = {5},
pages = {1293-1306},
publisher = {European Mathematical Society Publishing House},
title = {Homogeneous representations of Khovanov–Lauda Algebras},
url = {http://eudml.org/doc/277540},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Kleshchev, Alexander
AU - Ram, Arun
TI - Homogeneous representations of Khovanov–Lauda Algebras
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 5
SP - 1293
EP - 1306
AB - We construct irreducible graded representations of simply laced Khovanov–Lauda algebras which are concentrated in one degree. The underlying combinatorics of skew shapes and standard tableaux corresponding to arbitrary simply laced types has been developed previously by Peterson, Proctor and Stembridge. In particular, the Peterson–Proctor hook formula gives the dimensions of the homogeneous irreducible modules corresponding to straight shapes.
LA - eng
KW - irreducible graded representations; simply laced Khovanov-Lauda algebras; skew shapes; standard tableaux; homogeneous irreducible modules; irreducible graded representations; simply laced Khovanov-Lauda algebras; skew shapes; standard tableaux; homogeneous irreducible modules
UR - http://eudml.org/doc/277540
ER -