Swinarski, David Software for computing conformal block divisors on \(\overline {M}_{0,n}\). (English) Zbl 1403.14005 J. Softw. Algebra Geom. 8, 81-86 (2018). Summary: We introduce the packages {LieTypes.m2} and {ConformalBlocks.m2} for Macaulay2. {LieTypes.m2} contains basic types for working with Lie algebras and Lie algebra modules. {ConformalBlocks.m2} computes ranks and first Chern classes of vector bundles of conformal blocks on \(\overline{M}_{0,n}\). Cited in 1 Document MSC: 14-04 Software, source code, etc. for problems pertaining to algebraic geometry 14Q15 Computational aspects of higher-dimensional varieties 14D21 Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) 14D22 Fine and coarse moduli spaces 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 17B37 Quantum groups (quantized enveloping algebras) and related deformations 17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras 14E30 Minimal model program (Mori theory, extremal rays) Keywords:conformal blocks; fusion product; moduli of curves Software:ConformalBlocks; Macaulay2; LieTypes PDFBibTeX XMLCite \textit{D. Swinarski}, J. Softw. Algebra Geom. 8, 81--86 (2018; Zbl 1403.14005) Full Text: DOI References: [1] 10.4171/119-1/1 · Zbl 1317.14103 · doi:10.4171/119-1/1 [2] 10.1017/S0013091513000941 · Zbl 1285.14012 · doi:10.1017/S0013091513000941 [3] 10.1093/imrn/rnr064 · Zbl 1271.14034 · doi:10.1093/imrn/rnr064 [4] ; Beauville, Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry. Israel Math. Conf. Proc., 9, 75 (1996) [5] 10.1007/978-1-4612-2256-9 · doi:10.1007/978-1-4612-2256-9 [6] 10.1090/conm/564/11148 · doi:10.1090/conm/564/11148 [7] 10.2307/2153922 · Zbl 0768.14002 · doi:10.2307/2153922 [8] 10.1090/fim/024 · doi:10.1090/fim/024 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.