Journal Articles

  1. L. Kadison, Uniquely separable extensions, Expositiones Mathematicae 38 (2020), 217-231.
  2. L. Kadison, Separable equivalence of rings and symmetric algebras, Bulletin of the London Mathematical Society 51 (2019), 344-352.
  3. L. Kadison, An in-Depth look at quotient modules, Algebras & Representation Theory 23 (2020), 7-32.
  4. A. Hernandez, L. Kadison, S.A. Lopes, A quantum subgroup depth, Acta Mathematica Hungarica 152 (2017), 166-185.
  5. L. Kadison, A tower condition characterizing normality, Hokkaido Mathematics Journal 45 (2016). 243-262.
  6. A. Hernandez, L. Kadison, M. Szamotulski, Subgroup depth and twisted coefficients, Communications in Algebra 44 (2016), 3570-3591.
  7. L. Kadison, Algebra depth in tensor categories, Bulletin B.M.S. 23 (2016), 721-752.
  8. A. Hernandez, L. Kadison, C.J. Young, Algebraic quotient modules and subgroup depth, Abh. Math. Semin. Univ. Hamburg 84 (2014), 267-283.
  9. L. Kadison, Hopf subalgebras and tensor powers of generalized permutation modules, J. Pure Appl. Algebra 218 (2014), 367-380.
  10. L. Kadison, C.J. Young, Subalgebra depths within path algebras of acyclic quivers, in: Algebra, Geometry and Mathematical Physics, (AGMP, Mulhouse, France, Oct. 2011), Maklouhf, Paal, Silvestrov, Stolin (editors) Springer Proceedings in Math. and Stat. 85, 2014, 83-97.
  11. L. Kadison, Subring depth, Frobenius extensions and towers, International J. Math. & Math. Sci. (2012) 254791.
  12. L. Kadison, Odd H-depth and H-separable extensions, Central European J. Math. 10 (2012), 958-968.
  13. S.M. Burciu, L. Kadison, Subgroups of depth three, in: Perspectives in Mathematics and Physics (Proceedings in honor of I.M. Singer, Cambridge, Mass., May 2009) T. Mrowka, S.-T. Yau (editors), Surveys in Differential Geometry 2010 XV, 2011, 17-36.
  14. L. Kadison, Subring depth below an ideal, J. Physics Conf. Series 346 (2012) 012010.
  15. S. Burciu, L. Kadison, B. Kuelshammer, On subgroup depth, International Electronic J. of Algebra 9 (2011), 133-166.
  16. M.C. Iovanov, L. Kadison, When weak Hopf algebras are Frobenius, Proc. American Math Society 138 (2010), 837-845.
  17. L. Kadison, Skew Hopf algebras, irreducible extensions and the pi-method, Muenster J. Math, 2 (2009), 183-200.
  18. S. Burciu, L. Kadison, Depth two Hopf subalgebras of a semisimple Hopf algebra, J. Algebra 322 (2009), 162-176.
  19. L. Kadison, Infinite index subalgebras of depth two, Proceedings Amer. Math. Soc. 136 (2008), 1523-1532.
  20. L. Kadison, Finite depth and Jacobson-Bourbaki correspondence, J. Pure Appl. Algebra, 212 (2008), 1822-1839.
  21. L. Kadison, Simplicial Hochschild cochains as an Amitsur complex, J. Gen. Lie Theory and Applications 2 (2008), 180-185.
  22. F. Castano Iglesias, L. Kadison, Similarity, codepth two bicomodules and QF bimodules, Arabian J. Sci. Eng., 33 (2008), 99-106.
  23. L. Kadison, Anchor maps and stable modules in depth two, Applied Categorical Structures 16 (2008), 141--157.
  24. L. Kadison, Centralizers and induction, Journal of Algebra and its Applications 6 (2007), 505-527.
  25. L. Kadison, An approach to quasi-Hopf algebras via Frobenius coordinates, Journal of Algebra 295 (2006), 27-43.
  26. L. Kadison, Pseudo-Galois extensions and Hopf algebroids, in: Modules and Comodules, Conf. Proceedings dedicated to Robert Wisbauer, Porto 9/2006, Birkhauser Trends in Math, XII 2008, 247--264.
  27. L. Kadison, An endomorphism ring theorem for Galois and depth two extensions, Journal of Algebra 305 (2006), 163-184.
  28. L. Kadison, Codepth two and related topics, Appl. Cat. Struct. 14 (2006), 605-625.
  29. L. Kadison, B. Kuelshammer, Depth two, normality and a trace ideal condition for Frobenius extensions, Communications in Algebra, 34 (2006), 3103-3122.
  30. L. Kadison, Galois theory for bialgebroids, depth two and normal Hopf subalgebras, Ann. Univ. Ferrara - Sez. VII - Sc. Mat. 51 (2005), 209-231.
  31. L. Kadison, An action-free characterization of weak Hopf-Galois extensions, Algebra Montpellier Announcements 1 (2005), 1-6.
  32. L. Kadison, Hopf algebroids and Galois extensions, Bulletin of the Belgian Mathematical Society - Simon Stevin 12 (2005), 275-293.
  33. L. Kadison, Depth two and the Galois coring, in "Noncommutative geometry and representation theory in mathematical physics", J. Fuchs, A.A. Stolin et al (eds.) Contemporary Math. 391 Amer. Math. Soc., Providence, 2005, 149-156.
  34. T. Brzezínski, L. Kadison, R. Wisbauer, On coseparable and biseparable corings in "Hopf algebras in noncommutative geometry and physics", S. Caenepeel, F. Van Oystaeyen (eds.), Lect. Notes in Pure Appl. Math. 239 Marcel Dekker, New York, 2004, 71-89.
  35. L. Kadison, K. Szlachányi, Bialgebroid actions on depth two extensions and duality, Advances in Mathematics 179 (2003), 75-121.
  36. L. Kadison, Hopf algebroids and H-separable extensions, Proceedings of American Mathematical Society 131 (2003), 2993-3002.
  37. L. Kadison, A.A. Stolin, An approach to Hopf algebras via Frobenius coordinates II, J. Pure Appl. Algebra 176 (2002), 127-152.
  38. L. Kadison, D. Nikshych, Outer actions of Hopf algebra centralizers on separable extensions, Comm. Algebra 30 (2002), 383-410.
  39. L. Kadison, Note on Miyashita-Ulbrich action and H-separable extension, Hokkaido Mathematical Journal 30 (2001), 689-695.
  40. S. Caenepeel, L. Kadison, Are biseparable extensions Frobenius? K-Theory 24 (2001), 361-383.
  41. L. Kadison, D. Nikshych, Hopf algebra actions on strongly separable extensions of depth two, Adv. in Math. 163 (2001), 258-286.
  42. L. Kadison, D. Nikshych, Frobenius extensions and weak Hopf algebras, Journal of Algebra 244 (2001), 312-342.
  43. L. Kadison, A.A. Stolin, An approach to Hopf algebras via Frobenius coordinates, Beitraege zur Algebra und Geometri 42 (2001), 359-384.
  44. L. Kadison, A.A. Stolin, Separability and Hopf algebras, in "Algebra and its Applications", Huynh, Jain, and Lopez-Permouth, (eds.) Contemporary Mathematics 259 A.M.S., Providence, 2000, 279-298.
  45. L. Kadison, The quantum groups U_q(sl_2) at the roots of unity, self-duality and ascent, Nachrichten der Akademie der Wissenschaften in Goettingen II, no. 2, (2000), 71--81. www.msri.org 1999-052
  46. L. Kadison, Separability and the twisted Frobenius bimodule, Algebras and Representation Theory 2 (1999), 397-414.
  47. L. Kadison, The Jones polynomial and certain separable Frobenius extensions, Journal of Algebra 186 (1996), 461-475.
  48. L. Kadison, On split, separable subalgebras with counitality condition, Hokkaido Math. J. 24 (1995), 527-549.
  49. L. Kadison, The Wedderburn principal theorem and Shukla cohomology, J. Pure Appl. Algebra 102 (1995), 49--60.
  50. L. Kadison, Separability and the Jones polynomial, in "Rings, Extensions, and Cohomology", A. Magid (ed.), Lect. Notes in Pure and Appl. Math. 159, Marcel Dekker, New York, 1994, 123-138.
  51. L. Kadison, Algebraic aspects of the Jones basic construction, Comptes Rendus Math. Reports Acad. Sci. Canada 15 (1993), 223 - 228.
  52. L. Kadison, D. Kastler, Cohomological aspects and relative separability of finite Jones index subfactors, Nachr. der Akad. Wissen. Göttingen, II, no. 4, (1992), 95-105.
  53. L. Kadison, Cyclic homology of triangular matrix algebras, in "Topology Hawaii", K.H. Dovermann (ed.), World Scientific, Singapore, 1992, 137-148.
  54. L. Kadison, On the cyclic cohomology of nest algebras and a spectral sequence induced by a subalgebra in Hochschild cohomology, Comptes Rendus Acad. Sci. Paris 311 (1990), 247-252.
  55. L. Kadison, A relative cyclic cohomology theory useful for computations, Comptes Rendus Acad. Sci. Paris 308 (1989), 569-573.

    56.  

Books

  1. L. Kadison, New Examples of Frobenius Extensions, University Lecture Series 14, American Mathematical Society, Providence, Rhode Island, 1999. ISBN 0-8218-1962-3, 84+x p.
  2. L. Kadison, M.T. Kromann, Projective Geometry and Modern Algebra, Birkhauser, Basel, 1996. ISBN 0-8176-3900-4, 208+xvi p.

    3.