On Moduli Spaces for Abelian Categories

REFERENCES

• Agoston , I. , Dlab , V. , Lukacs , E. ( 1998 ). Stratified algebras . C. R. Math. Rep. Acad. Sci. Canada 20 : 20 – 25 .
   Google Scholar
• Bekkert , V. , Benkart , G. , Futorny , V. ( 2004 ). Weight modules for Weyl algebras . In: Kac-Moody Lie Algebras and Related Topics . Contemp. Math 343 Amer. Math. Soc., Providence, RI , pp. 17 – 42 .
   Google Scholar
• Bernstein , I. , Gelfand , I. ( 1980 ). Tensor product of finite and infinite-dimensional representations of semisimple Lie algebras . Compositio Math. 41 ( 2 ): 245 – 285 .
   Web of Science ®Google Scholar
• Bernstein , I. N. , Gel'fand , I. M. , Gel'fand , S. I. ( 1976 ). Category of 𝔤 modules . Funct. Anal. Appl. 10 : 87 – 92 .
   Google Scholar
• Bridgeland , T. ( 2007 ). Stability conditions on triangulated categories . Annals of Math. 166 ( 2 ): 317 – 345 .
   Web of Science ®Google Scholar
• Chari , V. , Greenstein , J. ( 2007 ). Current algebras, highest weight categories and quivers, Adv. Math. 216 ( 2 ): 811 – 840 .
   Web of Science ®Google Scholar
• Cline , E. , Parshall , B. , Scott , L. ( 1988 ). Finite dimensional algebras and highest weight categories . J. Reine Agne. Math. 391 : 85 – 99 .
   Web of Science ®Google Scholar
• Cline , E. , Parshall , B. , Scott , L. ( 1996 ). Stratifying endomorphism algebras . Mem. Amer. Math. Soc. 124 : 591 .
   Google Scholar
• Coleman , A. , Futorny , V. (1994). Stratified L-modules. J. Algebra 163(1):219–234.
   Web of Science ®Google Scholar
• Dlab , V. ( 1996 ). Quasi-hereditary algebras revisited . An. St. Univ. Ovidius Constantza 4 : 43 – 54 .
   Google Scholar
• Dlab , V. ( 2000 ). Properly stratified algebras . C. R. Acad. Sci. Paris Ser. I Math 331 : 191 – 196 .
   Google Scholar
• Futorny , V. , Koenig , S. , Mazorchuk , V. ( 2000a ). A combinatorial description of blocks in 𝒪(P, Λ) associated with sl(2)-induction . J. Algebra 231 ( 1 ): 86 – 103 .
   Web of Science ®Google Scholar
• Futorny , V. , Koenig , S. , Mazorchuk , V. ( 2000b ). S-subcategories in 𝒪 . Manuscripta Math. 102 ( 4 ): 487 – 503 .
   Web of Science ®Google Scholar
• Futorny , V. , Koenig , S. , Mazorchuk , V. ( 2001 ). Categories of induced modules for Lie algebras with triangular decomposition . Forum Math. 13 : 641 – 661 .
   Web of Science ®Google Scholar
• Futorny , V. , Koenig , S. , Mazorchuk , V. ( 2002 ). Categories of induced modules and standardly strtified algebras . Algebr. Represent. Theory 5 ( 3 ): 259 – 276 .
   Web of Science ®Google Scholar
• Grantcharov , D. , Serganova , V. ( 2006 ). Category of sp(2n)-modules with bounded weight multiplicities . Moscow Math. J. 6 ( 1 ): 119 – 134 .
   Google Scholar
• Gorodentscev , A. , Kuleshov , S. , Rudakov , A. ( 2004 ). Stability data and t-structures on a triangulated category . Izv. Math. 68 : 749 – 781 .
   Google Scholar
• Joyce , D. ( 2007 ). Configurations in abelian categories, III. Stability conditions and invariants . Adv. Math. 215 ( 1 ): 153 – 219 .
   Web of Science ®Google Scholar
• King , A. ( 1994 ). Moduli of representations of finite dimensional algebras . Quart. J. Math. 45 : 515 – 530 .
   Web of Science ®Google Scholar
• Koenig , S. , Mazorchuk , V. ( 2002 ). Enright's completions and injectively copresented modules . Trans. Amer. Math. Soc. 354 ( 7 ): 2725 – 2743 .
   Web of Science ®Google Scholar
• Kashuba , I. , Ovsienko , S. , Shestakov , I. Jordan algebras versus associative. Preprint RT 2005-10, University São Paulo .
   Google Scholar
• Mazorchuk , V. ( 2002 ). Stratified algebras arising in Lie theory. U.U.D.M. Report 2002 : 37 .
   Google Scholar
• Parshall , B. , Scott , L. ( 1988 ). Derived Categories, Quasi-Hereditary Algebras, and Algebraic Groups . Proc. of the Ottawa-Moosonee Workshop in Algebra 1987, Math. Lecture Series, 3 , Carleton University and Université d'Ottawa , pp. 1 – 105 .
   Google Scholar
• Rocha-Caridi , A. ( 1980 ). Splitting criteria for 𝔤-modules induced from a parabolic and the Bernstein-Gelfand-Gelfand resolution of a finite dimensional irreducible 𝔤-module . Trans. Amer. Math. Soc. 262 : 335 – 366 .
   Web of Science ®Google Scholar
• Rocha-Caridi , A. , Wallach , N. ( 1982 ). Projective modules over graded Lie algebras . I, Math. Z. 180 : 151 – 177 .
   Google Scholar
• Rudakov , A. ( 1997 ). Stability on abelian categories . J. Alg. 197 : 231 – 245 .
   Google Scholar
• Schofield , A. ( 2001 ). Birational classification of moduli spaces of representations of quivers . Indag. Mathem. 12 : 407 – 432 .
   Google Scholar
• Communicated by I. P. Shestakov.
   Google Scholar