
- Canonical bases for the quantum group of type A r and piecewiselinear combinatorics
- Journal of Algebraic Combinatorics 1 (1992), 722 1992 Kluwer Academic Publishers, Boston. Manufactured in The Netherlands.
- BRAIDED DOUBLES AND RATIONAL CHEREDNIK ALGEBRAS YURI BAZLOV 1
- arXiv:math/0610567v1 LECTURE NOTES ON GEOMETRIC CRYSTALS AND THEIR
- JGP Vol. 5, n. 3, 1989 Tensor product multiplicities
- GROUPLIKE ELEMENTS IN QUANTUM GROUPS AND FEIGIN'S CONJECTURE 1
- LIE ALGEBRAS AND LIE GROUPS OVER NONCOMMUTATIVE ARKADY BERENSTEIN AND VLADIMIR RETAKH
- QUASIHARMONIC POLYNOMIALS FOR COXETER GROUPS AND REPRESENTATIONS OF CHEREDNIK ALGEBRAS
- arXiv:math.QA/0407010 NONCOMMUTATIVE DOUBLE BRUHAT CELLS AND THEIR
- arXiv:1011.0245v2[math.QA]10Nov2010 A SHORT PROOF OF KONTSEVICH CLUSTER CONJECTURE
- GROUPS GENERATED BY INVOLUTIONS, GELFAND-TSETLIN PATTERNS AND
- A. Berenstein and J. Greenstein (2010) "Quantum Folding," International Mathematics Research Notices, rnq264, 63 pages.
- advances in mathematics 122, 49 149 (1996) Parametrizations of Canonical Bases
- Comment. Math. Helv. 72 (1997) 128166 0010-2571/97/010128-39 $ 1.50+0.20/0
- arXiv:1012.1714v3[math.RT]17Dec2010 LITTLEWOOD-RICHARDSON COEFFICIENTS FOR REFLECTION
- arXiv:math/0601391v4[math.QA]9Mar2007 GEOMETRIC AND UNIPOTENT CRYSTALS II
- IMRN International Mathematics Research Notices 2005, No. 8
- arXiv:1008.1773v1[math.GR]10Aug2010 Stability inequalities and universal Schubert
- Sel. math., New ser. 14 (2009), 325372 c 2009 Birkhauser Verlag Basel/Switzerland
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- arXiv:0812.2624v3[math.RT]3Jun2009 Symmetry, Integrability and Geometry: Methods and Applications SIGMA 5 (2009), 057, 18 pages
- arXiv:0809.0300v1[math.MG]1Sep2008 Affine buildings for dihedral groups
- Advances in Mathematics 218 (2008) 17231758 www.elsevier.com/locate/aim
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- arXiv:math/0610567v1[math.QA]18Oct2006 LECTURE NOTES ON GEOMETRIC CRYSTALS AND THEIR
- Advances in Mathematics 195 (2005) 405455 www.elsevier.com/locate/aim
- arXiv:math/0305434v3[math.RT]21Jan2004 CLUSTER ALGEBRAS III
- arXiv:math/9912105v3[math.QA]29Mar2006 GEOMETRIC AND UNIPOTENT CRYSTALS
- JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
- Concavity of weighted arithmetic means with applications ARKADY BERENSTEIN and ALEK VAINSHTEIN *)
- GROUP-LIKE ELEMENTS IN QUANTUM GROUPS AND FEIGIN'S CONJECTURE
- Canonical bases for the quantum group of type Ar and piecewise-linear combinatorics
- STRING BASES FOR QUANTUM GROUPS OF TYPE Ar Arkady Berenstein and Andrei Zelevinsky 1
- WHEN IS THE MULTIPLICITY OF A WEIGHT EQUAL TO i? A. D. Berenshtein and A. V. Zelevinskii UDC 519.46
- JGP -Vol. 5, n. 3, 1989 Tensor product multiplicities
- CommuniCllt;ons of the Moscow MathemtltlCllI Society A multiplicative analogue of Bergstrom's inequality for
- )J;OKn. AKaA. HaYK CCCP TOM 300 (1988) .N! 6
- The exam will cover the material we have discussed in class and studied in homework, from Section 1.1 to Section 2.3. The following list points out the most important definitions and theorems.
- WebAssign Instructions In this class we will be using an online homework system called WebAssign. Once you get
- Digital Object Identifier (DOI) 10.1007/s002220000102 Invent. math. 143, 77128 (2001)
- Journal of Algebraic Combinatorics 1 (1992), 7-22 @ 1992 Kluwer Academic Publishers, Boston. Manufactured in The Netherlands.
- Discrete Mathematics 225 (2000) 1524 www.elsevier.com/locate/disc
- Advances in Mathematics 220 (2009) 14661530 www.elsevier.com/locate/aim
- A CONVEXITY PROPERTY OF THE POISSON DISTRIBUTION AND ITS APPLICATION IN QUEUEING THEORY