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Volumn 89, Issue 3, 2009, Pages 183-216

Q-systems as cluster algebras II: Cartan Matrix of Finite Type and the Polynomial Property

Author keywords

Cluster algebras; Kirillov Reshetikhin modules; Q systems

Indexed keywords


EID: 70350392807     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-009-0354-z     Document Type: Article
Times cited : (67)

References (18)
  • 1
    • 44449113201 scopus 로고
    • Formulas for the multiplicities of the occurrence of irreducible components in the tensor product of representations of simple Lie algebras
    • no. Differentsialnaya Geom. Gruppy Li i Mekh. 13, 30-37, 179
    • Kirillov, A.N., Reshetikhin, N.Yu.: Formulas for the multiplicities of the occurrence of irreducible components in the tensor product of representations of simple Lie algebras, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 205 (1993), no. Differentsialnaya Geom. Gruppy Li i Mekh. 13, 30-37, 179.
    • (1993) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) , vol.205
    • Kirillov, A.N.1    Reshetikhin, N.Y.2
  • 2
    • 0000140857 scopus 로고    scopus 로고
    • Remarks on fermionic formula, Recent developments in quantum affine algebras and related topics (Raleigh, NC, 1998)
    • Amer. Math. Soc., Providence, RI (1999)
    • Hatayama G., Kuniba A., Okado M., Takagi T., Yamada Y.: Remarks on fermionic formula, Recent developments in quantum affine algebras and related topics (Raleigh, NC, 1998), Contemp. Math., vol. 248, pp. 243-291. Amer. Math. Soc., Providence, RI (1999).
    • (1999) Contemp. Math. , vol.248 , pp. 243-291
    • Hatayama, G.1    Kuniba, A.2    Okado, M.3    Takagi, T.4    Yamada, Y.5
  • 3
    • 0037822361 scopus 로고    scopus 로고
    • Paths, crystals and fermionic formulae, MathPhys Odyssey, 2001
    • Boston, MA: Birkhäuser Boston
    • Hatayama G., Kuniba A., Okado M., Takagi T., Tsuboi Z.: Paths, crystals and fermionic formulae, MathPhys Odyssey, 2001, Prog. Math. Phys., vol. 23, pp. 205-272. Birkhäuser Boston, Boston, MA (2002).
    • (2002) Prog. Math. Phys. , vol.23 , pp. 205-272
    • Hatayama, G.1    Kuniba, A.2    Okado, M.3    Takagi, T.4    Tsuboi, Z.5
  • 6
    • 0001663460 scopus 로고
    • Functional relations in solvable lattice models. I. Functional relations and representation theory
    • Atsuo K., Tomoki N., Junji S.: Functional relations in solvable lattice models. I. Functional relations and representation theory. Internat J. Modern Phys. A 9(30), 5215-5266 (1994).
    • (1994) Internat J. Modern Phys. A , vol.9 , Issue.30 , pp. 5215-5266
    • Atsuo, K.1    Tomoki, N.2    Junji, S.3
  • 7
    • 18444417390 scopus 로고    scopus 로고
    • T-analogs of q-characters of Kirillov-Reshetikhin modules of quantum affine algebras
    • (electronic)
    • Hiraku N.: t-analogs of q-characters of Kirillov-Reshetikhin modules of quantum affine algebras. Represent. Theory 7, 259-274 (2003) (electronic).
    • (2003) Represent. Theory , vol.7 , pp. 259-274
    • Hiraku, N.1
  • 8
    • 33747360376 scopus 로고    scopus 로고
    • The Kirillov-Reshetikhin conjecture and solutions of T-systems
    • Hernandez D.: The Kirillov-Reshetikhin conjecture and solutions of T-systems. J. Reine Angew. Math. 596, 63-87 (2006).
    • (2006) J. Reine Angew. Math. , vol.596 , pp. 63-87
    • Hernandez, D.1
  • 9
    • 0036004369 scopus 로고    scopus 로고
    • Cluster algebras. I. Foundations
    • Sergey F., Andrei Z.: Cluster algebras. I. Foundations. J. Amer. Math. Soc. 15(2), 497-529 (2002).
    • (2002) J. Amer. Math. Soc. , vol.15 , Issue.2 , pp. 497-529
    • Sergey, F.1    Andrei, Z.2
  • 10
    • 0347188734 scopus 로고    scopus 로고
    • Y-systems and generalized associahedra
    • Sergey F., Andrei Z.: Y-systems and generalized associahedra. Ann. of Math. (2) 158(3), 977-1018 (2003).
    • (2003) Ann. of Math. (2) , vol.158 , Issue.3 , pp. 977-1018
    • Sergey, F.1    Andrei, Z.2
  • 13
    • 0036230067 scopus 로고    scopus 로고
    • The Laurent phenomenon
    • Sergey F., Andrei Z.: The Laurent phenomenon. Adv. in Appl. Math. 28(2), 119-144 (2002).
    • (2002) Adv. in Appl. Math. , vol.28 , Issue.2 , pp. 119-144
    • Sergey, F.1    Andrei, Z.2
  • 15
    • 34248372052 scopus 로고    scopus 로고
    • Cluster algebras. IV. Coefficients
    • Sergey F., Andrei Z.: Cluster algebras. IV. Coefficients. Compos. Math. 143(1), 112-164 (2007).
    • (2007) Compos. Math. , vol.143 , Issue.1 , pp. 112-164
    • Sergey, F.1    Andrei, Z.2
  • 16
    • 12744281268 scopus 로고    scopus 로고
    • Cluster algebras III: Upper bounds and double Bruhat cells
    • Berenstein A., Fomin S., Zelevinsky A.: Cluster algebras III: upper bounds and double Bruhat cells. Duke Math. J. 126(1), 1-52 (2005).
    • (2005) Duke Math. J. , vol.126 , Issue.1 , pp. 1-52
    • Berenstein, A.1    Fomin, S.2    Zelevinsky, A.3
  • 17
    • 0000268226 scopus 로고    scopus 로고
    • The q-characters of representations of quantum affine algebras and deformations of W-algebras
    • In: Recent developments in quantum affine algebras and related topics (Raleigh, NC 1998)
    • Frenkel, E., Reshetikhin, N.: The q-characters of representations of quantum affine algebras and deformations of W-algebras. In: Recent developments in quantum affine algebras and related topics (Raleigh, NC 1998). Contemp. Math. 248, 163-205 (1999).
    • (1999) Contemp. Math. , vol.248 , pp. 163-205
    • Frenkel, E.1    Reshetikhin, N.2


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