By Yuen Fong, Long-Sheng Shiao, Efim Zelmanov
This quantity includes one invited lecture which was once offered by way of the 1994 Fields Medal ist Professor E. Zelmanov and twelve different papers which have been awarded on the 3rd foreign convention on Algebra and Their comparable themes at Chang Jung Christian college, Tainan, Republic of China, throughout the interval June 26-July 1, 200l. All papers during this quantity were refereed through a world referee board and we'd wish to show our inner most because of the entire referees who have been so worthwhile and punctual in filing their studies. thank you also are because of the advertising and learn heart of nationwide technology Council of Republic of China and the Chang Jung Christian collage for his or her beneficiant monetary help of this convention. The spirit of this convention is a continuation of the final foreign Tainan Moscow Algebra Workshop on Algebras and Their similar themes that have been held within the mid-90's of the final century. the aim of this very convention was once to offer a transparent photograph of the new improvement and learn within the fields of alternative sorts of algebras either in Taiwan and within the leisure ofthe global, specially say, Russia" Europe, North the USA and South the United States. hence, we have been hoping to augment the opportunity of destiny cooperation in examine paintings one of the algebraists ofthe 5 continents. right here we wish to show that this algebra amassing will continually be held sooner or later within the southern a part of Taiwan.
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Math. Phys. 133 (1990), 249-260. [14J _ _ _ , On crystal bases of the q-analogue of universal enveloping algebras, Duke Math. J. 63 (1991), 465-516. [15J A. Lascoux, B. Leclerc, J-Y. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Commun. Math. Phys. 181 (1996), 205-263. [16J D. E. Littlewood, A. R. Richardson, Group characters and algebra, Philos. Trans. Roy. Soc. London, Ser. A 233 (1934), 99-142. [17J G. Lusztig, Canonical bases arising from quantized enveloping algebras, J.
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2003 Kluwer Academic Publishers. -J. KANG 40 (1) To construct and classify irreducible representations in terms of nice combinatorialobjects. (2) To give a combinatorial description of the irreducible decomposition of a given A-module. (3) To determine composition factors of a given A-module in terms of nice combinatorialobjects. When we focus on the structure of irreducible representations, the problem would be narrowed down to finding an explicit combinatorial description of the basis vectors.