The q-schur2 algebra

Transactions of the American Mathematical Society

Volumn 352, Issue 9, 2000, Pages 4325-4353

  Jie, D U ^a   Scott, Leonard ^a,b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646949991     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. [C] R. Carter, Finite groups of Lie type: conjugacy classes and complex characters, Wiley, 1985. MR 87d:20060
2. [CPS1] E. Cline, B. Parshall and L. Scott, Integral and graded quasi-hereditary algebras, I, J. Algebra 131 (1990), 126-160. MR 91c:16009
3. [CPS2] E. Cline, B. Parshall and L. Scott, Abstract Kazhdan-Lusztig theories, Tôhoku Math. J. 45 (1993), 511-534. MR 94k:20079
4. [CPS3] E. Cline, B. Parshall and L. Scott, Finite dimensional algebras and highest weight categories, 3. Reine Angew. Math. 391 (1988), 85-99. MR 90d:18005
5. [CPS4] E. Cline, B. Parshall and L. Scott, Stratifying endomorphism algebras, Memoirs Amer. Math. Soc. 124 (1996). MR 97h:16012
6. [DJ1] R. Dipper and G. James, Representations of Hecke algebras of general linear groups, Proc. London Math. Soc. 52 (1986), 20-52. MR 88b:20065
7. [DJ2] R. Dipper and G. James, The q-Schur algebra, Proc. London Math. Soc. 59 (1989), 23-50. MR 90g:16026
8. [DJ3] R. Dipper and G. James, The q-tensor spaces and q-Weyl modules, Trans. Amer. Math. Soc. 327 (1991), 251-282. MR 91m:20061
9. n, J. Algebra 146 (1992), 454-481. MR 93c:20019
10. n at roots of unity, Proc. London Math. Soc. 70 (1995), 505-528. MR 96b:20004
11. 2, manusc. math. 75 (1992), 411-427. MR 93g:20086
12. [DPS1] J. Du, B. Parshall and L. Scott, Stratifying endomorphism algebras associated to Hecke algebras, J. Algebra 203 (1998), 169-210. MR 99e:20006
13. [DPS2] J. Du, B. Parshall and L. Scott, Cells and q-Schur algebras, J. Transformation Groups 3 (1998), 33-49. MR 99a:20041
14. [DPS3] J. Du, B. Parshall and L. Scott, Quantum Weyl reciprocity and tilting modules, Comm. Math. Phys. 195 (1998), 321-352. MR 99k:17026
15. [DR1] J. Du and H. Rui, Based algebras and standard bases for quasi-hereditary algebras, Trans. Amer. Math. Soc. 350 (1998), 3207-3235. MR 99b:16027
16. m algebra, J. Algebra 123 (1999), 567-595. CMP 99:10
17. [DS] J. Du and L. Scott, Lusztig conjectures, old and new, I, J. Reine Angew. Math. 455 (1994), 141-182. MR 95i:20062
18. [GH] M. Geek and G. Hiss, Modular representations of finite groups of Lie type in non-defining characteristic, in Finite reductive groups: Related structures and representations, M. Cabanes, ed., Birkhäuser (1996) , 173-227. MR 98h:20016
19. [GL] J. Graham and G. Lehrer, Cellular algebras, Invent. Math. 123 (1996), 1-34. MR 97h:20016
20. [G] J. A. Green, Combinatorics and the Schur algebra, 3. Pure Appl. Algebra 88 (1993), 89-106. MR 94g:05100
21. [Gr] R. M. Green, A straightening formula for quantized codeterminants, Comm. Algebra 24 (1996), 2887-2913. MR 97k:20069
22. [JK] G. James and A. Kerber, The representation theory of the symmetric group, Addison-Wesley, London, 1981. MR 83k:20003
23. [Ji] M. Jimbo, A q-analogue of U(gl((N + 1)), Hecke algebras, and the Yang-Baxter equation, Letters in Math. Physics 11 (1986), 247-252. MR 87k:17011
24. [L] G. Lusztig, Characters of reductive groups over a finite field, Princeton Univ. Press, 1984. MR 86j:20038
25. n, J. Algebra 173 (1993), 97-121. MR 9Gb:20013
26. [PS] B. Parshall and L. Scott, Derived categories, quasi-hereditary algebras, and algebraic groups, Lecture Notes Series, Carleton University 3 (1988), 1-105.
27. [PW] B. Parshall and J.-P. Wang, Quantum linear groups, Memoirs Amer. Math. Soc. 89 (1991). MR 91g:16028
28. [Sh] J.-y. Shi, A result on the Bruhat order of a Coxeter group, 3. Algebra 128 (1990), 510-516. MR 90k:20059