Publications

Published research monographs

  1. Eivind Eriksen, Olav Arnfinn Laudal, Arvid Siqveland, Noncommutative Deformation Theory, Monographs and Research Notes in Mathematics, Chapman and Hall/CRC, 2017 - Review on MathSciNet

Selected published papers

  1. Eivind Eriksen, Iterated Extensions and Uniserial Length Categories, Algebras and Representation Theory 24 (2021), 273-286
  2. Eivind Eriksen and Arvid Siqveland, The algebra of observables in noncommutativ deformation theory, J. Algebra 547 (2020), 162-172
  3. Eivind Eriksen and Arvid Siqveland, Geometry of noncommutative algebras, Banach Center Publ. 93 (2011), 69-82
  4. Eivind Eriksen and Trond S. Gustavsen, Equivariant Lie-Rinehart cohomology, Proc. Estonian Acad. Sci. Phys. Math. 59 (2010), no. 4, 294-300
  5. Eivind Eriksen, Computing noncommutative deformations of presheaves and sheaves of modules, Canad. J. Math. 62 (2010), no. 3, 520-542
  6. Eivind Eriksen and Trond S. Gustavsen, Lie-Rinehart cohomology and integrable connections on modules of rank one, J. Algebra 322 (2009), no. 12, 4283-4294
  7. Eivind Eriksen and Trond S. Gustavsen, Connections on modules over singularities of finite and tame CM representation type, Generalized Lie Theory in Mathematics, Physics and Beyond, 99-108, Springer, 2008
  8. Eivind Eriksen, Connections on modules over quasi-homogeneous plane curves, Comm. Algebra 36 (2008), no. 8, 3032 - 3041
  9. Eivind Eriksen and Trond S. Gustavsen, Connections on modules over singularities of finite CM representation type, J.Pure Appl. Algebra 212 (2008), no. 7, 1561-1574
  10. Eivind Eriksen and Trond S. Gustavsen, Computing obstructions for existence of connections on modules, J. Symb. Comput. 42 (2007), no. 3, 313-323
  11. Eivind Eriksen, An introduction to noncommutative deformations of modules, Noncommutative Algebra and Geometry, 90-125, Lect. Notes Pure Appl. Maths., 243, Chapman & Hall/CRC, 2005
  12. Eivind Eriksen, Differential operators on monomial curves, J. Algebra 264 (2003), no. 1, 186-198

Submitted papers

  1. Eivind Eriksen, Graded Holonomic D-modules on Monomial Curves, 12pp
  2. Eivind Eriksen, Coherent rings of differential operators, 8pp

Other published papers

  1. Eivind Eriksen, Computing noncommutative deformations, Algebra, Geometry and Mathematical Physics 285-291, Springer, 2014
  2. Eivind Eriksen, The Generalized Burnside Theorem in noncommutative deformation theory, J. Gen. Lie Theory Appl. 5 (2011), 5 pages
  3. Eivind Eriksen, Computing noncommutative global deformations of D-modules, Generalized Lie Theory in Mathematics, Physics and Beyond, 109-117, Springer, 2008
  4. Eivind Eriksen, An example of noncommutative deformations, J. Gen. Lie Theory Appl. 2 (2008), no. 3, 152-156

Preprints, e-prints and manuscripts

  1. Eivind Eriksen and Trond S. Gustavsen, Connections on modules over singularities of finite CM representation type (extended preprint version), arXiv: math/0606638 (2006), 26pp

Theses

  1. Eivind Eriksen, Graded D-modules on monomial curves, Ph.D. thesis, University of Oslo (2000)
  2. Eivind Eriksen, Konneksjoner og monodromi på en klasse moduler over simple kurve-singulariteter, Master thesis, University of Oslo (1994)