Kwon, Jae-Hoon; Okado, Masato Kirillov-Reshetikhin modules of generalized quantum groups of type \(A\). (English) Zbl 07445183 Publ. Res. Inst. Math. Sci. 57, No. 3-4, 993-1039 (2021). MSC: 17B37 22E46 05E10 PDF BibTeX XML Cite \textit{J.-H. Kwon} and \textit{M. Okado}, Publ. Res. Inst. Math. Sci. 57, No. 3--4, 993--1039 (2021; Zbl 07445183) Full Text: DOI OpenURL
Kwon, Jae-Hoon; Yu, Jeongwoo \(R\) matrix for generalized quantum group of type \(A\). (English) Zbl 07268495 J. Algebra 566, 309-341 (2021). MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{J.-H. Kwon} and \textit{J. Yu}, J. Algebra 566, 309--341 (2021; Zbl 07268495) Full Text: DOI OpenURL
Biswal, Rekha; Scrimshaw, Travis Existence of Kirillov-Reshetikhin crystals for multiplicity-free nodes. (English) Zbl 1454.81111 Publ. Res. Inst. Math. Sci. 56, No. 4, 761-778 (2020). MSC: 81R50 17B37 20C20 PDF BibTeX XML Cite \textit{R. Biswal} and \textit{T. Scrimshaw}, Publ. Res. Inst. Math. Sci. 56, No. 4, 761--778 (2020; Zbl 1454.81111) Full Text: DOI OpenURL
Zhang, Zhen; Cinoglu, I. Soner; Charbal, Ali; Vermaak, Natasha; Lou, Langhong; Zhang, Jian Cyclic inelastic behavior and shakedown response of a 2nd generation nickel-base single crystal superalloy under tension-torsion loadings: experiments and simulations. (English) Zbl 07173566 Eur. J. Mech., A, Solids 80, Article ID 103895, 10 p. (2020). MSC: 74-XX PDF BibTeX XML Cite \textit{Z. Zhang} et al., Eur. J. Mech., A, Solids 80, Article ID 103895, 10 p. (2020; Zbl 07173566) Full Text: DOI OpenURL
Kuniba, Atsuo; Okado, Masato Set-theoretical solutions to the reflection equation associated to the quantum affine algebra of type \(A^{(1)}_{n-1}\). (English) Zbl 07411984 J. Integrable Syst. 4, Article ID xyz013, 10 p. (2019). MSC: 37-XX 35-XX PDF BibTeX XML Cite \textit{A. Kuniba} and \textit{M. Okado}, J. Integrable Syst. 4, Article ID xyz013, 10 p. (2019; Zbl 07411984) Full Text: DOI OpenURL
Igarashi, Mana; Misra, Kailash C.; Pongprasert, Suchada \(D_5^{(1)}\)-geometric crystal corresponding to the Dynkin spin node \(i = 5\) and its ultra-discretization. (English) Zbl 1455.17017 J. Algebra Appl. 18, No. 12, Article ID 1950227, 31 p. (2019). MSC: 17B37 17B67 17B10 PDF BibTeX XML Cite \textit{M. Igarashi} et al., J. Algebra Appl. 18, No. 12, Article ID 1950227, 31 p. (2019; Zbl 1455.17017) Full Text: DOI arXiv OpenURL
Gillespie, Maria; Levinson, Jake; Purbhoo, Kevin Shifted tableau crystals. (English) Zbl 1411.05291 Sémin. Lothar. Comb. 80B, 80B.71, 12 p. (2018). MSC: 05E15 14N15 05A15 PDF BibTeX XML Cite \textit{M. Gillespie} et al., Sémin. Lothar. Comb. 80B, 80B.71, 12 p. (2018; Zbl 1411.05291) Full Text: Link OpenURL
Naoi, Katsuyuki Existence of Kirillov-Reshetikhin crystals of type \(G_2^{(1)}\) and \(D_4^{(3)}\). (English) Zbl 1472.17060 J. Algebra 512, 47-65 (2018). Reviewer: Euiyong Park (Seoul) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{K. Naoi}, J. Algebra 512, 47--65 (2018; Zbl 1472.17060) Full Text: DOI arXiv OpenURL
Salisbury, Ben; Schultze, Adam; Tingley, Peter Combinatorial descriptions of the crystal structure on certain PBW bases. (English) Zbl 1441.17016 Transform. Groups 23, No. 2, 501-525 (2018). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{B. Salisbury} et al., Transform. Groups 23, No. 2, 501--525 (2018; Zbl 1441.17016) Full Text: DOI arXiv OpenURL
Misra, Kailash C.; Nakashima, Toshiki Affine geometric crystal of \(A_n^{(1)}\) and limit of Kirillov-Reshetikhin perfect crystals. (English) Zbl 1433.17018 J. Algebra 507, 249-291 (2018). MSC: 17B37 17B67 18A32 PDF BibTeX XML Cite \textit{K. C. Misra} and \textit{T. Nakashima}, J. Algebra 507, 249--291 (2018; Zbl 1433.17018) Full Text: DOI arXiv OpenURL
Hong, Jin; Lee, Hyeonmi Description of \(\mathsf {B}(\infty)\) through Kashiwara embedding for Lie algebra types \(E_6\) and \(E_7\). (English) Zbl 1423.17016 Algebr. Represent. Theory 20, No. 4, 871-893 (2017). MSC: 17B37 17B25 PDF BibTeX XML Cite \textit{J. Hong} and \textit{H. Lee}, Algebr. Represent. Theory 20, No. 4, 871--893 (2017; Zbl 1423.17016) Full Text: DOI OpenURL
Hoshino, A.; Nakada, K. Polyhedral realizations of crystal bases \(B(\lambda)\) for \(D^{(1)}_n\). (English) Zbl 1404.17024 Commun. Algebra 44, No. 5, 2193-2212 (2016). MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{A. Hoshino} and \textit{K. Nakada}, Commun. Algebra 44, No. 5, 2193--2212 (2016; Zbl 1404.17024) Full Text: DOI OpenURL
Kwon, Jae-Hoon Super duality and crystal bases for quantum ortho-symplectic superalgebras. II. (English) Zbl 1395.17028 J. Algebr. Comb. 43, No. 3, 553-588 (2016). MSC: 17B37 05E10 17B10 PDF BibTeX XML Cite \textit{J.-H. Kwon}, J. Algebr. Comb. 43, No. 3, 553--588 (2016; Zbl 1395.17028) Full Text: DOI arXiv OpenURL
Kuniba, Atsuo; Maruyama, Shouya; Okado, Masato Multispecies TASEP and combinatorial \(R\). (English) Zbl 1326.60139 J. Phys. A, Math. Theor. 48, No. 34, Article ID 34FT02, 19 p. (2015). MSC: 60K35 60C05 PDF BibTeX XML Cite \textit{A. Kuniba} et al., J. Phys. A, Math. Theor. 48, No. 34, Article ID 34FT02, 19 p. (2015; Zbl 1326.60139) Full Text: DOI arXiv OpenURL
Hong, Jin; Lee, Hyeonmi Crystal \(\mathcal {B}(\lambda)\) as a subset of the tableau description of \(\mathcal {B}(\infty)\) for the classical Lie algebra types. (English) Zbl 1314.05222 Algebr. Represent. Theory 18, No. 1, 137-160 (2015). MSC: 05E10 17B37 17B10 PDF BibTeX XML Cite \textit{J. Hong} and \textit{H. Lee}, Algebr. Represent. Theory 18, No. 1, 137--160 (2015; Zbl 1314.05222) Full Text: DOI arXiv OpenURL
Misra, Kailash C.; Wilson, Evan A. Tensor product decomposition of \(\widehat{sl}(n)\) modules and identities. (English) Zbl 1351.17030 Alladi, Krishnaswami (ed.) et al., Ramanujan 125. International conference to commemorate the 125th anniversary of Ramanujan’s birth, University of Florida, Gainesville, FL, USA, November 5–7, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1078-0/pbk). Contemporary Mathematics 627, 131-144 (2014). Reviewer: Stefano Capparelli (Roma) MSC: 17B67 17B10 17B37 11P82 PDF BibTeX XML Cite \textit{K. C. Misra} and \textit{E. A. Wilson}, Contemp. Math. 627, 131--144 (2014; Zbl 1351.17030) OpenURL
Jayne, Rebecca L.; Misra, Kailash C. On multiplicities of maximal weights of \(\widehat{sl}(n)\)-modules. (English) Zbl 1364.17024 Algebr. Represent. Theory 17, No. 4, 1303-1321 (2014). MSC: 17B67 05E10 PDF BibTeX XML Cite \textit{R. L. Jayne} and \textit{K. C. Misra}, Algebr. Represent. Theory 17, No. 4, 1303--1321 (2014; Zbl 1364.17024) Full Text: DOI arXiv OpenURL
Lee, Hyeonmi Crystal \(B(\lambda)\) as a subset of crystal \(B(\infty)\) expressed as tableaux for \(A_n\) type. (English) Zbl 1351.17018 J. Algebra 400, 142-160 (2014); corrigendum ibid. 427, 317-318 (2015). MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{H. Lee}, J. Algebra 400, 142--160 (2014; Zbl 1351.17018) Full Text: DOI OpenURL
Kwon, Jae-Hoon Crystal bases of \(q\)-deformed Kac modules over the quantum superalgebra \(U_{q}(\mathfrak{gl}(m|n))\). (English) Zbl 1351.17017 Int. Math. Res. Not. 2014, No. 2, 512-550 (2014). MSC: 17B37 PDF BibTeX XML Cite \textit{J.-H. Kwon}, Int. Math. Res. Not. 2014, No. 2, 512--550 (2014; Zbl 1351.17017) Full Text: DOI arXiv OpenURL
Lee, Hyeonmi Crystal \(\mathcal{B}(\infty)\) for quantum affine algebras: a Young wall description. (English) Zbl 1332.17017 Commun. Algebra 42, No. 10, 4509-4525 (2014). MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{H. Lee}, Commun. Algebra 42, No. 10, 4509--4525 (2014; Zbl 1332.17017) Full Text: DOI OpenURL
Kim, Min Kyu; Lee, Hyeonmi Crystal \(B(\lambda)\) in \(B(\infty)\) for \(G_2\) type Lie algebra. (English) Zbl 1326.17012 J. Korean Math. Soc. 51, No. 2, 427-442 (2014). MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{M. K. Kim} and \textit{H. Lee}, J. Korean Math. Soc. 51, No. 2, 427--442 (2014; Zbl 1326.17012) Full Text: DOI arXiv Link OpenURL
Misra, Kailash C.; Wilson, Evan A. On tensor product decomposition of \(\widehat{\mathfrak{sl}}(n)\) modules. (English) Zbl 1281.17027 J. Algebra Appl. 12, No. 8, Article ID 1350054, 16 p. (2013). Reviewer: Stefano Capparelli (Roma) MSC: 17B67 17B10 17B37 PDF BibTeX XML Cite \textit{K. C. Misra} and \textit{E. A. Wilson}, J. Algebra Appl. 12, No. 8, Article ID 1350054, 16 p. (2013; Zbl 1281.17027) Full Text: DOI OpenURL
Kwon, Jae-Hoon Littlewood identity and crystal bases. (English) Zbl 1282.17008 Adv. Math. 230, No. 2, 699-745 (2012). MSC: 17B10 05E15 17B37 17B67 PDF BibTeX XML Cite \textit{J.-H. Kwon}, Adv. Math. 230, No. 2, 699--745 (2012; Zbl 1282.17008) Full Text: DOI arXiv OpenURL
Hong, Jin; Lee, Hyeonmi Young tableaux and crystal \(\mathcal B(\infty )\) for the exceptional Lie algebra types. (English) Zbl 1232.05236 J. Comb. Theory, Ser. A 119, No. 2, 397-419 (2012). MSC: 05E10 PDF BibTeX XML Cite \textit{J. Hong} and \textit{H. Lee}, J. Comb. Theory, Ser. A 119, No. 2, 397--419 (2012; Zbl 1232.05236) Full Text: DOI OpenURL
Kwon, Jae-Hoon Crystal bases of modified quantized enveloping algebras and a double RSK correspondence. (English) Zbl 1231.05291 J. Comb. Theory, Ser. A 118, No. 7, 2131-2156 (2011). MSC: 05E15 17B37 PDF BibTeX XML Cite \textit{J.-H. Kwon}, J. Comb. Theory, Ser. A 118, No. 7, 2131--2156 (2011; Zbl 1231.05291) Full Text: DOI arXiv OpenURL
Kuniba, Atsuo; Sakamoto, Reiho; Yamada, Yasuhiko Generalized energies and integrable \(D_n^{(1)}\) cellular automaton. (English) Zbl 1231.81054 Feigin, Boris (ed.) et al., New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 221-242 (2011). Reviewer: Vladimir Răsvan (Craiova) MSC: 81R50 17B37 37B15 68Q80 81U40 82B23 PDF BibTeX XML Cite \textit{A. Kuniba} et al., in: New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27--31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific. 221--242 (2011; Zbl 1231.81054) Full Text: arXiv OpenURL
Naito, Satoshi; Sagaki, Daisuke Crystal base elements of an extremal weight module fixed by a diagram automorphism. II: Case of affine Lie algebras. (English) Zbl 1259.17014 Gyoja, Akihiko (ed.) et al., Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Boston, MA: Birkhäuser (ISBN 978-0-8176-4696-7/hbk; 978-0-8176-4697-4/ebook). Progress in Mathematics 284, 225-255 (2010). MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{S. Naito} and \textit{D. Sagaki}, Prog. Math. 284, 225--255 (2010; Zbl 1259.17014) Full Text: DOI OpenURL
Kodera, Ryosuke A generalization of adjoint crystals for the quantized affine algebras of type \(A^{(1)}_n\), \(C^{(1)}_n\) and \(D^{(2)}_{n+1}\). (English) Zbl 1264.17011 J. Algebr. Comb. 30, No. 4, 491-514 (2009). MSC: 17B37 17B10 17B67 PDF BibTeX XML Cite \textit{R. Kodera}, J. Algebr. Comb. 30, No. 4, 491--514 (2009; Zbl 1264.17011) Full Text: DOI arXiv OpenURL
Naito, Satoshi; Sagaki, Daisuke Mirković-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal. (English) Zbl 1194.17008 Adv. Math. 221, No. 6, 1804-1842 (2009). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 14M15 17B10 14L35 20G10 52B12 PDF BibTeX XML Cite \textit{S. Naito} and \textit{D. Sagaki}, Adv. Math. 221, No. 6, 1804--1842 (2009; Zbl 1194.17008) Full Text: DOI arXiv OpenURL
Lee, Hyeonmi The crystal \(\mathcal {B}(\infty)\) and extended Nakajima monomials. (English) Zbl 1211.17016 Proc. Am. Math. Soc. 137, No. 6, 1915-1924 (2009). Reviewer: Robert Marsh (Leeds) MSC: 17B37 81R50 20G42 PDF BibTeX XML Cite \textit{H. Lee}, Proc. Am. Math. Soc. 137, No. 6, 1915--1924 (2009; Zbl 1211.17016) Full Text: DOI OpenURL
Hong, Jin; Lee, Hyeonmi Young tableaux and crystal \(\mathcal B(\infty)\) for finite simple Lie algebras. (English) Zbl 1218.17007 J. Algebra 320, No. 10, 3680-3693 (2008). MSC: 17B37 05E10 PDF BibTeX XML Cite \textit{J. Hong} and \textit{H. Lee}, J. Algebra 320, No. 10, 3680--3693 (2008; Zbl 1218.17007) Full Text: DOI arXiv OpenURL
Lee, Hyeonmi Descriptions of the crystal \(\mathcal{B}_{(\infty)}\) for \(G_2\). (English) Zbl 1182.17005 RIMS Kôkyûroku Bessatsu B8, 43-54 (2008). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 17B67 81R50 PDF BibTeX XML Cite \textit{H. Lee}, RIMS Kôkyûroku Bessatsu B8, 43--54 (2008; Zbl 1182.17005) Full Text: arXiv OpenURL
Jung, Arnd; Schnell, Alexander Crack growth in a coated gas turbine superalloy under thermo-mechanical fatigue. (English) Zbl 1140.74386 Int. J. Fatigue 30, No. 2, 286-291 (2008). MSC: 74-06 74Rxx 74F05 PDF BibTeX XML Cite \textit{A. Jung} and \textit{A. Schnell}, Int. J. Fatigue 30, No. 2, 286--291 (2008; Zbl 1140.74386) Full Text: DOI OpenURL
Nakashima, Toshiki Affine geometric crystal of type \(G_2^{(1)}\). (English) Zbl 1142.17010 Huang, Yi-Zhi (ed.) et al., Lie algebras, vertex operator algebras and their applications. International conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, Raleigh, NC, USA, May 17–21, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3986-7/pbk). Contemporary Mathematics 442, 179-192 (2007). Reviewer: Duncan J. Melville (Canton) MSC: 17B37 17B67 22E65 14M15 PDF BibTeX XML Cite \textit{T. Nakashima}, Contemp. Math. 442, 179--192 (2007; Zbl 1142.17010) Full Text: arXiv OpenURL
Lee, Hyeonmi Nakajima monomials and crystals for special linear Lie algebras. (English) Zbl 1151.17007 Nagoya Math. J. 188, 31-57 (2007). Reviewer: Giovanna Carnovale (Padova) MSC: 17B37 20G05 PDF BibTeX XML Cite \textit{H. Lee}, Nagoya Math. J. 188, 31--57 (2007; Zbl 1151.17007) Full Text: DOI arXiv Euclid OpenURL
Nakajima, Hiraku Crystal, canonical and PBW bases of quantum affine algebras. (English) Zbl 1194.17009 Mehta, V. B. (ed.), Algebraic groups and homogeneous spaces. Proceedings of the international colloquium, Mumbai, India, January 6–14, 2004. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-802-1/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 19, 389-421 (2007). Reviewer: Yang Shilin (Beijing) MSC: 17B37 PDF BibTeX XML Cite \textit{H. Nakajima}, in: Algebraic groups and homogeneous spaces. Proceedings of the international colloquium, Mumbai, India, January 6--14, 2004. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research. 389--421 (2007; Zbl 1194.17009) OpenURL
Hoshino, Ayumu Polyhedral realizations of crystal bases for modified quantum algebras of rank 2. (English) Zbl 1141.17012 Commun. Algebra 34, No. 6, 1997-2018 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{A. Hoshino}, Commun. Algebra 34, No. 6, 1997--2018 (2006; Zbl 1141.17012) Full Text: DOI arXiv OpenURL
Shin, Dong-Uy Crystal bases and monomials for \(U_q(G_2)\)-modules. (English) Zbl 1158.17305 Commun. Algebra 34, No. 1, 129-142 (2006). MSC: 17B37 05E10 81R50 PDF BibTeX XML Cite \textit{D.-U. Shin}, Commun. Algebra 34, No. 1, 129--142 (2006; Zbl 1158.17305) Full Text: DOI arXiv OpenURL
Kuniba, Atsuo; Okado, Masato; Yamada, Yasuhiko Box-ball system with reflecting end. (English) Zbl 1090.37008 J. Nonlinear Math. Phys. 12, No. 4, 475-507 (2005). MSC: 37B15 37K60 35Q40 37K15 81R12 82C23 17B37 35Q51 PDF BibTeX XML Cite \textit{A. Kuniba} et al., J. Nonlinear Math. Phys. 12, No. 4, 475--507 (2005; Zbl 1090.37008) Full Text: DOI arXiv OpenURL
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki Crystal bases for quantum generalized Kac-Moody algebras. (English) Zbl 1085.17009 Proc. Lond. Math. Soc., III. Ser. 90, No. 2, 395-438 (2005). Reviewer: Robert Marsh (Leicester) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{K. Jeong} et al., Proc. Lond. Math. Soc. (3) 90, No. 2, 395--438 (2005; Zbl 1085.17009) Full Text: DOI arXiv OpenURL
Nakajima, Hiraku Extremal weight modules of quantum affine algebra. (English) Zbl 1088.17008 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 343-369 (2004). Reviewer: Duncan J. Melville (Canton) MSC: 17B10 17B37 17B67 PDF BibTeX XML Cite \textit{H. Nakajima}, Adv. Stud. Pure Math. 40, 343--369 (2004; Zbl 1088.17008) Full Text: arXiv OpenURL
Naito, Satoshi; Sagaki, Daisuke Crystal bases and diagram automorphisms. (English) Zbl 1090.17013 Shoji, Toshiaki (ed.) et al., Representation theory of algebraic groups and quantum groups. Papers from the conference held as the 10th International Research Institute of the Mathematical Society of Japan (MSJ-IRI) at Sophia University, Tokyo, Japan, August 1–10, 2001. Tokyo: Mathematical Society of Japan (ISBN 4-931469-25-6/hbk). Advanced Studies in Pure Mathematics 40, 321-341 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B37 PDF BibTeX XML Cite \textit{S. Naito} and \textit{D. Sagaki}, Adv. Stud. Pure Math. 40, 321--341 (2004; Zbl 1090.17013) OpenURL
Kim, Jeong-Ah; Shin, Dong-Uy Insertion scheme for the classical Lie algebras. (English) Zbl 1098.05080 Commun. Algebra 32, No. 8, 3139-3167 (2004). Reviewer: John Lorch (Muncie) MSC: 05E15 81R50 05E10 PDF BibTeX XML Cite \textit{J.-A. Kim} and \textit{D.-U. Shin}, Commun. Algebra 32, No. 8, 3139--3167 (2004; Zbl 1098.05080) Full Text: DOI OpenURL
Nakajima, Hiraku Cells in quantum affine algebras. (English) Zbl 1062.17012 Algebra Colloq. 11, No. 1, 141-154 (2004). Reviewer: Robert Marsh (Leicester) MSC: 17B37 20F55 PDF BibTeX XML Cite \textit{H. Nakajima}, Algebra Colloq. 11, No. 1, 141--154 (2004; Zbl 1062.17012) OpenURL
Kashiwara, Masaki Realizations of crystals. (English) Zbl 1066.17006 Kang, Seok-Jin (ed.) et al., Combinatorial and geometric representation theory. An international conference, Seoul, Korea, October 22–26, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3212-3/pbk). Contemp. Math. 325, 133-139 (2003). Reviewer: Sonia Natale (Cordoba) MSC: 17B37 17B10 20G05 PDF BibTeX XML Cite \textit{M. Kashiwara}, Contemp. Math. 325, 133--139 (2003; Zbl 1066.17006) Full Text: arXiv OpenURL
Hunter, C. A.; Packer, M. J. Computational approaches to predicting sequence-structure relationships in DNA. (English) Zbl 1052.92025 Drew, Horace R. (ed.) et al., New approaches to structural mechanics, shells and biological structures. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0862-7/hbk). Solid Mech. Appl. 104, 447-456 (2002). MSC: 92C40 92-08 PDF BibTeX XML Cite \textit{C. A. Hunter} and \textit{M. J. Packer}, Solid Mech. Appl. 104, 447--456 (2002; Zbl 1052.92025) OpenURL
Beck, Jonathan Crystal structure of level zero extremal weight modules. (English) Zbl 1023.17005 Lett. Math. Phys. 61, No. 3, 221-229 (2002). Reviewer: Sorin Dascalescu (Safat) MSC: 17B37 PDF BibTeX XML Cite \textit{J. Beck}, Lett. Math. Phys. 61, No. 3, 221--229 (2002; Zbl 1023.17005) Full Text: DOI arXiv OpenURL
Saito, Yoshihisa Crystal bases and quiver varieties. (English) Zbl 1041.17018 Math. Ann. 324, No. 4, 675-688 (2002). Reviewer: Li Fang (Hangzhou) MSC: 17B37 17B35 16G20 PDF BibTeX XML Cite \textit{Y. Saito}, Math. Ann. 324, No. 4, 675--688 (2002; Zbl 1041.17018) Full Text: DOI arXiv OpenURL
Hatayama, Goro; Kuniba, Atsuo; Okado, Masato; Takagi, Taichiro; Tsuboi, Zengo Paths, crystals and fermionic formulae. (English) Zbl 1016.17011 Kashiwara, Masaki (ed.) et al., MathPhys odyssey 2001. Integrable models and beyond. In honor of Barry M. McCoy, dedicated to his 60th birthday. Boston: Birkhäuser. Prog. Math. Phys. 23, 205-272 (2002). Reviewer: S.Ole Warnaar (Melbourne) MSC: 17B37 17B10 81R50 82B23 PDF BibTeX XML Cite \textit{G. Hatayama} et al., Prog. Math. Phys. 23, 205--272 (2002; Zbl 1016.17011) OpenURL
Hatayama, Goro; Kuniba, Atsuo; Takagi, Taichiro Factorization of combinatorial \(R\) matrices and associated cellular automata. (English) Zbl 1041.81065 J. Stat. Phys. 102, No. 3-4, 843-863 (2001). MSC: 81R50 82C23 17B37 37B15 82C20 81R12 PDF BibTeX XML Cite \textit{G. Hatayama} et al., J. Stat. Phys. 102, No. 3--4, 843--863 (2001; Zbl 1041.81065) Full Text: DOI arXiv OpenURL
Benkart, Georgia; Kang, Seok-Jin Crystal bases for quantum superalgebras. (English) Zbl 1027.17009 Koike, Kazuhiko (ed.) et al., Combinatorial methods in representation theory. Papers of the conference on combinatorial methods in representation theory, July 21-July 31, 1998 and the conference on interaction of combinatorics and representation theory, October 26-November 6, 1998, Kyoto, Japan. Tokyo: Kinokuniya Company Ltd. Adv. Stud. Pure Math. 28, 21-54 (2000). Reviewer: Robert Marsh (Leicester) MSC: 17B37 17B10 PDF BibTeX XML Cite \textit{G. Benkart} and \textit{S.-J. Kang}, Adv. Stud. Pure Math. 28, 21--54 (2000; Zbl 1027.17009) OpenURL
Yue, Zhufeng; Tao, Xiande; Ying, Zeyong; Li, Haiyan A crystallographic model for the orientation dependence of low cyclic fatigue property of a nickel-base single crystal superalloy. (English) Zbl 0974.74500 Appl. Math. Mech., Engl. Ed. 21, No. 4, 415-424 (2000). MSC: 74-05 74E15 74R99 PDF BibTeX XML Cite \textit{Z. Yue} et al., Appl. Math. Mech., Engl. Ed. 21, No. 4, 415--424 (2000; Zbl 0974.74500) Full Text: DOI OpenURL
Zou, Yi Ming Crystal bases for \(U_{q}(sl(2,1))\). (English) Zbl 0965.17007 Proc. Am. Math. Soc. 127, No. 8, 2213-2223 (1999). Reviewer: K.C.Misra (Raleigh) MSC: 17B37 PDF BibTeX XML Cite \textit{Y. M. Zou}, Proc. Am. Math. Soc. 127, No. 8, 2213--2223 (1999; Zbl 0965.17007) Full Text: DOI OpenURL
Foda, Omar; Leclerc, Bernard; Okado, Masato; Thibon, Jean-Yves; Welsh, Trevor A. Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras. (English) Zbl 0930.17023 Adv. Math. 141, No. 2, 322-365 (1999). Reviewer: K.C.Misra (Raleigh) MSC: 17B67 17B37 17B10 PDF BibTeX XML Cite \textit{O. Foda} et al., Adv. Math. 141, No. 2, 322--365 (1999; Zbl 0930.17023) Full Text: DOI OpenURL
Li, S. X.; Smith, D. J. Development of an anisotropic constitutive model for single-crystal superalloy for combined fatigue and creep loading. (English) Zbl 0953.74013 Int. J. Mech. Sci. 40, No. 10, 937-948 (1998). MSC: 74C10 74R20 74E10 74-05 PDF BibTeX XML Cite \textit{S. X. Li} and \textit{D. J. Smith}, Int. J. Mech. Sci. 40, No. 10, 937--948 (1998; Zbl 0953.74013) Full Text: DOI OpenURL
Plotkin, Eugene; Semenov, Andrei; Vavilov, Nikolai Visual basic representations: An atlas. (English) Zbl 0957.17006 Int. J. Algebra Comput. 8, No. 1, 61-95 (1998). MSC: 17B10 17B20 20G05 17B25 20G15 20G35 20G40 20G45 20C33 PDF BibTeX XML Cite \textit{E. Plotkin} et al., Int. J. Algebra Comput. 8, No. 1, 61--95 (1998; Zbl 0957.17006) Full Text: DOI OpenURL
Nakayashiki, Atsushi; Yamada, Yasuhiko Kostka polynomials and energy functions in solvable lattice models. (English) Zbl 0915.17016 Sel. Math., New Ser. 3, No. 4, 547-599 (1997). Reviewer: K.C.Misra (Raleigh) MSC: 17B37 05E05 81R50 82B23 PDF BibTeX XML Cite \textit{A. Nakayashiki} and \textit{Y. Yamada}, Sel. Math., New Ser. 3, No. 4, 547--599 (1997; Zbl 0915.17016) Full Text: DOI arXiv OpenURL
Nakashima, Toshiki Crystallized structure for level \(0\) part of modified quantum affine algebra \(\widetilde U_ q(\widehat{sl_ 2})\). (English) Zbl 0888.17006 Compos. Math. 108, No. 1, 1-33 (1997). Reviewer: Robert Marsh (Glasgow) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{T. Nakashima}, Compos. Math. 108, No. 1, 1--33 (1997; Zbl 0888.17006) Full Text: DOI arXiv OpenURL
Nakashima, Toshiki Crystallized Peter-Weyl type decomposition for level 0 part of modified quantum algebra \(\tilde U_ q(\widehat{\mathfrak{sl}_ 2})_ 0\). (English) Zbl 0872.17011 J. Algebra 189, No. 1, 150-186 (1997). Reviewer: Li Fang (Nanjing) MSC: 17B37 PDF BibTeX XML Cite \textit{T. Nakashima}, J. Algebra 189, No. 1, 150--186 (1997; Zbl 0872.17011) Full Text: DOI OpenURL
Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M. Perfect crystals and \(q\)-deformed Fock spaces. (English) Zbl 0959.17014 Sel. Math., New Ser. 2, No. 3, 415-499 (1996). MSC: 17B37 81R50 17B69 PDF BibTeX XML Cite \textit{M. Kashiwara} et al., Sel. Math., New Ser. 2, No. 3, 415--499 (1996; Zbl 0959.17014) Full Text: DOI OpenURL
Varchenko, A. N. Asymptotic solutions to the Knizhnik-Zamolodchikov equation and crystal base. (English) Zbl 0893.17009 Commun. Math. Phys. 171, No. 1, 99-137 (1995). Reviewer: K.C.Misra (Raleigh) MSC: 17B37 81R50 82B20 PDF BibTeX XML Cite \textit{A. N. Varchenko}, Commun. Math. Phys. 171, No. 1, 99--137 (1995; Zbl 0893.17009) Full Text: DOI arXiv OpenURL
Lakshmibai, V. Bases for quantum Demazure modules. (English) Zbl 0845.17016 Allison, Bruce N. (ed.) et al., Representations of groups. Canadian Mathematical Society annual seminar, June 15-24, 1994, Banff, Alberta, Canada. Providence, RI: American Mathematical Society. CMS Conf. Proc. 16, 199-216 (1995). MSC: 17B37 20G05 17B67 14M15 PDF BibTeX XML Cite \textit{V. Lakshmibai}, in: Representations of groups. Canadian Mathematical Society annual seminar, June 15-24, 1994, Banff, Alberta, Canada. Providence, RI: American Mathematical Society. 199--216 (1995; Zbl 0845.17016) OpenURL
Davies, Brian Corner transfer matrices and quantum affine algebras. (English) Zbl 0826.17021 J. Phys. A, Math. Gen. 27, No. 2, 361-378 (1994). MSC: 17B37 17B67 82B23 17B69 81R50 PDF BibTeX XML Cite \textit{B. Davies}, J. Phys. A, Math. Gen. 27, No. 2, 361--378 (1994; Zbl 0826.17021) Full Text: DOI OpenURL
Han, J.; Bertram, Albrecht; Olschewski, J.; Hermann, W.; Sockel, H.-G. Identification of crystal orientation by resonance measurements. (English) Zbl 0812.73008 Z. Angew. Math. Mech. 74, No. 4, T322-T325 (1994). MSC: 74E10 74-05 74S05 PDF BibTeX XML Cite \textit{J. Han} et al., Z. Angew. Math. Mech. 74, No. 4, T322--T325 (1994; Zbl 0812.73008) OpenURL
Lakshmibai, V. Bases for quantum Demazure modules. II. (English) Zbl 0848.17020 Haboush, William J. (ed.) et al., Algebraic groups and their generalizations: quantum and infinite-dimensional methods. Summer Research Institute on algebraic groups and their generalizations, July 6-26, 1991, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 56, Pt. 2, 149-168 (1994). MSC: 17B67 20G05 17B37 PDF BibTeX XML Cite \textit{V. Lakshmibai}, Proc. Symp. Pure Math. 56, 149--168 (1994; Zbl 0848.17020) OpenURL
Saito, Yoshihisa PBW basis of quantized universal enveloping algebras. (English) Zbl 0812.17013 Publ. Res. Inst. Math. Sci. 30, No. 2, 209-232 (1994). Reviewer: H.Yamada (Tokyo) MSC: 17B37 PDF BibTeX XML Cite \textit{Y. Saito}, Publ. Res. Inst. Math. Sci. 30, No. 2, 209--232 (1994; Zbl 0812.17013) Full Text: DOI OpenURL
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C. Crystal bases of Verma modules for quantum affine Lie algebras. (English) Zbl 0808.17007 Compos. Math. 92, No. 3, 299-325 (1994). Reviewer: H.Yamada (Tokyo) MSC: 17B37 PDF BibTeX XML Cite \textit{S.-J. Kang} et al., Compos. Math. 92, No. 3, 299--325 (1994; Zbl 0808.17007) Full Text: Numdam EuDML OpenURL
Kashiwara, Masaki; Nakashima, Toshiki Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. (English) Zbl 0808.17005 J. Algebra 165, No. 2, 295-345 (1994). Reviewer: H.Yamada (Tokyo) MSC: 17B37 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{T. Nakashima}, J. Algebra 165, No. 2, 295--345 (1994; Zbl 0808.17005) Full Text: DOI OpenURL
Date, Etsuro; Jimbo, Michio; Okado, Masato Crystal base and \(q\)-vertex operators. (English) Zbl 0790.17007 Commun. Math. Phys. 155, No. 1, 47-69 (1993). Reviewer: H.Yamada (Tokyo) MSC: 17B37 17B67 82B23 PDF BibTeX XML Cite \textit{E. Date} et al., Commun. Math. Phys. 155, No. 1, 47--69 (1993; Zbl 0790.17007) Full Text: DOI OpenURL
Nakashima, Toshiki Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras. (English) Zbl 0795.17016 Commun. Math. Phys. 154, No. 2, 215-243 (1993). Reviewer: H.Yamada (Tokyo) MSC: 17B37 PDF BibTeX XML Cite \textit{T. Nakashima}, Commun. Math. Phys. 154, No. 2, 215--243 (1993; Zbl 0795.17016) Full Text: DOI OpenURL
Jimbo, Michio Solvable lattice models and quantum groups. (English) Zbl 0749.17016 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. II, 1343-1352 (1991). Reviewer: H.Yamada (Tokyo) MSC: 17B37 17-02 82B23 17B67 PDF BibTeX XML Cite \textit{M. Jimbo}, in: Proceedings of the international congress of mathematicians (ICM), August 21-29, 1990, Kyoto, Japan. Volume II. Tokyo etc.: Springer-Verlag. 1343--1352 (1991; Zbl 0749.17016) OpenURL
Kashiwara, M. On crystal bases of the \(q\)-analogue of universal enveloping algebras. (English) Zbl 0739.17005 Duke Math. J. 63, No. 2, 465-516 (1991). Reviewer: H.Yamada (Tokyo) MSC: 17B37 17B67 PDF BibTeX XML Cite \textit{M. Kashiwara}, Duke Math. J. 63, No. 2, 465--516 (1991; Zbl 0739.17005) Full Text: DOI OpenURL