BGG swMATH ID: 27518 Software Authors: Hirotachi Abo; Wolfram Decker; David Eisenbud; Frank Schreyer; Gregory G. Smith; Mike Stillman Description: Macaulay2 package BGG: The Bernstein-Gel’fand-Gel’fand correspondence is an isomorphism between the derived category of bounded complexes of finitely generated modules over a polynomial ring and the derived category of bounded complexes of finitely generated module over an exterior algebra (or of certain Tate resolutions). This package implements routines for investigating the BGG correspondence. More details can be found in Sheaf Algorithms Using Exterior Algebra. Homepage: http://www2.macaulay2.com/Macaulay2/doc/Macaulay2-1.12/share/doc/Macaulay2/BGG/html/ Dependencies: Macaulay2 Related Software: Macaulay2; Magma; SINGULAR; Stacks Project; Book3264Examples; Schubert2; homalg Cited in: 13 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Sheaf algorithms using the exterior algebra. Zbl 0994.14010Decker, Wolfram; Eisenbud, David 2002 all top 5 Cited by 19 Authors 3 Eisenbud, David 2 Abo, Hirotachi 2 Barakat, Mohamed 2 Kudo, Momonari 2 Lange-Hegermann, Markus 1 de Graaf, Willem Adriaan 1 Decker, Wolfram 1 Elsenhans, Andreas-Stephan 1 Fløystad, Gunnar 1 Harris, Joseph Daniel 1 Harrison, Michael C. 1 Jahnel, Jörg 1 Pílniková, Jana 1 Ranestad, Kristian 1 Schenck, Hal 1 Schicho, Josef 1 Schreyer, Frank-Olaf 1 Stillman, Michael Eugene 1 Suciu, Alexander I. all top 5 Cited in 6 Serials 3 Transactions of the American Mathematical Society 2 Journal of Algebra 2 Journal of Symbolic Computation 1 Journal of Pure and Applied Algebra 1 Japan Journal of Industrial and Applied Mathematics 1 Journal of Algebraic Geometry all top 5 Cited in 9 Fields 11 Algebraic geometry (14-XX) 4 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 3 Computer science (68-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Convex and discrete geometry (52-XX) Citations by Year