Lenart, Cristian Haglund-Haiman-Loehr type formulas for Hall-Littlewood polynomials of type B and C. (English) Zbl 1229.05274 Algebra Number Theory 4, No. 7, 887-917 (2010). MSC: 05E05 33D52 PDFBibTeX XMLCite \textit{C. Lenart}, Algebra Number Theory 4, No. 7, 887--917 (2010; Zbl 1229.05274) Full Text: DOI arXiv
Joseph, Anthony; Lamprou, Polyxeni A Littelmann path model for crystals of generalized Kac-Moody algebras. (English) Zbl 1194.17006 Adv. Math. 221, No. 6, 2019-2058 (2009). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{A. Joseph} and \textit{P. Lamprou}, Adv. Math. 221, No. 6, 2019--2058 (2009; Zbl 1194.17006) Full Text: DOI arXiv
Naito, Satoshi; Sagaki, Daisuke Lakshmibai-Seshadri paths of level-zero shape and one-dimensional sums associated to level-zero fundamental representations. (English) Zbl 1234.17010 Compos. Math. 144, No. 6, 1525-1556 (2008). Reviewer: Valentina Golubeva (Moskva) MSC: 17B37 81R50 82B23 PDFBibTeX XMLCite \textit{S. Naito} and \textit{D. Sagaki}, Compos. Math. 144, No. 6, 1525--1556 (2008; Zbl 1234.17010) Full Text: DOI arXiv
Kapovich, Michael; Millson, John J. A path model for geodesics in Euclidean buildings and its applications to representation theory. (English) Zbl 1147.22011 Groups Geom. Dyn. 2, No. 3, 405-480 (2008). Reviewer: Ioan Pop (Iaşi) MSC: 22E46 20E42 PDFBibTeX XMLCite \textit{M. Kapovich} and \textit{J. J. Millson}, Groups Geom. Dyn. 2, No. 3, 405--480 (2008; Zbl 1147.22011) Full Text: DOI arXiv Link
Lenart, Cristian; Postnikov, Alexander A combinatorial model for crystals of Kac-Moody algebras. (English) Zbl 1211.17021 Trans. Am. Math. Soc. 360, No. 8, 4349-4381 (2008). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 17B67 17B10 05E10 22E46 20G42 PDFBibTeX XMLCite \textit{C. Lenart} and \textit{A. Postnikov}, Trans. Am. Math. Soc. 360, No. 8, 4349--4381 (2008; Zbl 1211.17021) Full Text: DOI arXiv
Lenart, Cristian; Postnikov, Alexander Affine Weyl groups in \(K\)-Theory and representation theory. (English) Zbl 1137.14037 Int. Math. Res. Not. 2007, No. 12, Article ID rnm038, 65 p. (2007). Reviewer: Piotr Krasoń (Szczecin) MSC: 14M15 19E08 PDFBibTeX XMLCite \textit{C. Lenart} and \textit{A. Postnikov}, Int. Math. Res. Not. 2007, No. 12, Article ID rnm038, 65 p. (2007; Zbl 1137.14037) Full Text: DOI arXiv
Naito, Satoshi; Sagaki, Daisuke Path model for a level-zero extremal weight module over a quantum affine algebra. II. (English) Zbl 1091.17009 Adv. Math. 200, No. 1, 102-124 (2006). Reviewer: Joaquín Jódar Reyes (Jaen) MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{S. Naito} and \textit{D. Sagaki}, Adv. Math. 200, No. 1, 102--124 (2006; Zbl 1091.17009) Full Text: DOI arXiv
Biane, Philippe; Bougerol, Philippe; O’Connell, Neil Littelmann paths and Brownian paths. (English) Zbl 1161.60330 Duke Math. J. 130, No. 1, 127-167 (2005). MSC: 60J65 05E10 17B10 20F55 PDFBibTeX XMLCite \textit{P. Biane} et al., Duke Math. J. 130, No. 1, 127--167 (2005; Zbl 1161.60330) Full Text: DOI arXiv Backlinks: MO
Sagaki, Daisuke Crystal bases, path models, and a twining character formula for Demazure modules. (English) Zbl 1020.17017 Publ. Res. Inst. Math. Sci. 38, No. 2, 245-264 (2002). Reviewer: Robert Marsh (Leicester) MSC: 17B67 17B37 20G42 PDFBibTeX XMLCite \textit{D. Sagaki}, Publ. Res. Inst. Math. Sci. 38, No. 2, 245--264 (2002; Zbl 1020.17017) Full Text: DOI arXiv
Goldes, I. V. The Verma bases construction for the Littelmann modules. (Russian) Zbl 0963.17017 Vestn. Ross. Univ. Druzh. Nar., Ser. Mat. 4-5, No. 1, 37-50 (1997). Reviewer: V. G. Miladzhanov (Andizhan) MSC: 17B67 PDFBibTeX XMLCite \textit{I. V. Goldes}, Vestn. Ross. Univ. Druzh. Nar., Ser. Mat. 4--5, No. 1, 37--50 (1997; Zbl 0963.17017)
Littelmann, Peter Characters of representations and paths in \({\mathfrak H}_\mathbb{R}^*\). (English) Zbl 0892.17010 Bailey, T. N. (ed.) et al., Representation theory and automorphic forms. Proceedings of an instructional conference, Edinburgh, UK, March 17–29, 1996. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 61, 29-49 (1997). Reviewer: Robert Marsh (Glasgow) MSC: 17B10 05E10 PDFBibTeX XMLCite \textit{P. Littelmann}, Proc. Symp. Pure Math. 61, 29--49 (1997; Zbl 0892.17010)
Littelmann, Peter A plactic algebra for semisimple Lie algebras. (English) Zbl 0892.17009 Adv. Math. 124, No. 2, 312-331 (1996). Reviewer: Robert Marsh (Glasgow) MSC: 17B10 05E10 17B67 PDFBibTeX XMLCite \textit{P. Littelmann}, Adv. Math. 124, No. 2, 312--331 (1996; Zbl 0892.17009) Full Text: DOI Link
Kashiwara, Masaki Similarity of crystal bases. (English) Zbl 0874.17028 Kang, Seok-Jin (ed.) et al., Lie algebras and their representations. A symposium on Lie algebras and representation theory, January 23-27, 1995, Seoul, Korea. Providence, RI: American Mathematical Society. Contemp. Math. 194, 177-186 (1996). Reviewer: H.H.Andersen (Aarhus) MSC: 17B67 17B37 20G05 PDFBibTeX XMLCite \textit{M. Kashiwara}, Contemp. Math. 194, 177--186 (1996; Zbl 0874.17028)
Seshadri, C. S. The work of P. Littelmann and standard monomial theory. (English) Zbl 0915.17005 Adhikari, S. D. (ed.), Current trends in mathematics and physics. A tribute to Harish-Chandra. New Delhi: Narosa Publishing House. 178-197 (1995). Reviewer: Robert Marsh (Glasgow) MSC: 17B10 14M15 20G05 PDFBibTeX XMLCite \textit{C. S. Seshadri}, in: Current trends in mathematics and physics. A tribute to Harish-Chandra. New Delhi: Narosa Publishing House. 178--197 (1995; Zbl 0915.17005)