Clifford theory for infinite dimensional modules

References

• Alperin, J. L. (1990). Static modules and nonnormal Clifford theory. J. Austral. Math. Soc. Ser. A 49:347–353.
   Google Scholar
• André, C. A. M. (1995). Basic characters of the unitriangular group. J. Algebra 175:287–319.
   Web of Science ®Google Scholar
• Burciu, S. (2011). Clifford theory for cocentral extensions. Israel J. Math. 181:111–123.
   Web of Science ®Google Scholar
• Clifford, A. H. (1937). Representations induced in an invariant subgroup. Ann. Math. 38:533–550.
   Google Scholar
• Cline, E. (1972). Stable Clifford theory. J. Algebra 22:350–364.
   Web of Science ®Google Scholar
• Conlon, S. B. (1964). Twisted group algebras and their representations. J. Austral. Math. Soc. 4:152–173.
   Google Scholar
• Curtis, C. W., Reiner, I. (1962). Representation Theory of Finite Groups and Associative Algebras. New York: Interscience.
   Google Scholar
• Dade, E. C. (1970). Compounding Clifford’s theory. Ann. Math. (2) 91:236–290.
   Web of Science ®Google Scholar
• Dade, E. C. (1980). Group-graded rings and modules. Math. Z. 174:241–262.
   Web of Science ®Google Scholar
• Diaconis, D., Isaacs, I. M. (2008). Supercharacters and superclasses for algebra groups. Trans. Amer. Math. Soc. 360:2359–2392.
   Web of Science ®Google Scholar
• Fell, J. M. G. (1969). An extension of Mackey’s method to algebraic bundles over finite groups. Amer. J. Math. 91:203–238.
   Web of Science ®Google Scholar
• Galindo, C. (2011). Clifford theory for tensor categories. J. Lond. Math. Soc. (2) 83:57–78.
   Web of Science ®Google Scholar
• Galindo, C. (2012). Clifford theory for graded fusion categories. Israel J. Math. 192:841–867.
   Web of Science ®Google Scholar
• Gallagher, P. X. (1962). Groups characters and normal Hall subgroups. Nagoya Math. J. 21:223–230.
   Google Scholar
• Herstein, I. N. (1968). Noncommutative Rings. Carus Math. Monogr., Vol. 15, Math. Assoc. America,Washington, DC.
   Google Scholar
• Jacobson, N. (1989). Basic Algebra II. 2nd ed. New York: W. H. Freeman and Company.
   Google Scholar
• Lam, T. Y. (1991). A First Course in Noncommutative Rings. New York: Springer-Verlag.
   Google Scholar
• Lang, S. (1984). Algebra, 2nd ed. Reading: Addison-Wesley.
   Google Scholar
• Lehrer, G. I. (1974). Discrete series and the unipotent subgroup. Compositio Math. 28:9–19.
   Web of Science ®Google Scholar
• Lizasoain, I. (2011). A decomposition theorem for group representations. Algebr. Represent. Theory 14:639–663.
   Web of Science ®Google Scholar
• Mackey, G. W. (1951). On induced representations of groups. Amer. J. Math. 73:576–592.
   Google Scholar
• Mackey, G. W. (1958). Unitary representations of group extensions. I. Acta Math. 99:265–311.
   Web of Science ®Google Scholar
• McLain, D. H. (1954). A characteristically-simple group. Proc. Cambridge Philos. Soc. 50:641–642.
   Web of Science ®Google Scholar
• Meierfrankenfeld, U. (1995). Ascending subgroups of irreducible finitary linear group. J. London Math. Soc. (2) 51:75–92.
   Web of Science ®Google Scholar
• Passman, D. S. (1977). The Algebraic Structure of Group Rings. New York: Wiley-Interscience.
   Google Scholar
• Rieffel, M. A. (1979). Normal subrings and induced representations. J. Algebra 59:364–386.
   Web of Science ®Google Scholar
• Serre, J.-P. (1977). Linear Representations of Finite Groups. New York: Springer.
   Google Scholar
• Szechtman, F., Herman, A., Izadi, M. Representations of McLain groups, arXiv:1506.06184.
   Google Scholar
• Schneider, H.-J. (1990). Representation theory of Hopf Galois extensions. Israel J. Math. 72:196–231.
   Web of Science ®Google Scholar
• Szechtman, F. Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings, arXiv:1507.07410.
   Google Scholar
• Tucker, P. A. (1962). On the reduction of induced indecomposable representations. Amer. J. Math. 84:400–420.
   Web of Science ®Google Scholar
• Tucker, P. A. (1963). Note on the reduction of induced representations. Amer. J. Math. 85:53–58.
   Web of Science ®Google Scholar
• Tucker, P. A. (1965). Endomorphism ring of an induced module. Michigan Math. J. 12:197–202.
   Web of Science ®Google Scholar
• van Oystaeyen, F., Zhang, Y. (1996). Induction functors and stable Clifford theory for Hopf modules. J. Pure Appl. Algebra 107:337–351.
   Web of Science ®Google Scholar
• Ward, H. N. (1968). The analysis of representations induced from a normal subgroup. Michigan Math. J. 15:417–428.
   Web of Science ®Google Scholar
• Wehrfritz, B. A. F. (1995). Locally soluble primitive finitary skew linear groups. Comm. Algebra 23:803–817.
   Web of Science ®Google Scholar
• Wehrfritz, B. A. F. (1997). On ‘Clifford’s theorem’ for primitive finitary groups. Proc. Amer. Math. Soc. 125:2843–2846.
   Web of Science ®Google Scholar
• Wehrfritz, B. A. F. (2001). Locally finite finitary skew linear groups. Proc. London Math. Soc. (3) 83:71–92.
   Web of Science ®Google Scholar
• Witherspoon, S. J. (1999). Clifford correspondence for finite-dimensional Hopf algebras. J. Algebra 218:608–620.
   Web of Science ®Google Scholar
• Witherspoon, S. J. (2002). Clifford correspondence for algebras. J. Algebra 256:518–530.
   Web of Science ®Google Scholar
• Zelinsky, D. (1954). Every linear transformation is a sum of nonsingular ones. Proc. Amer. Math. Soc. 5:627–630.
   Web of Science ®Google Scholar