共查询到20条相似文献,搜索用时 15 毫秒
1.
Murray Gerstenhaber Mary E. Schaps 《Transactions of the American Mathematical Society》1997,349(8):3353-3371
The Donald-Flanigan conjecture asserts that the integral group ring of a finite group can be deformed to an algebra over the power series ring with underlying module such that if is any prime dividing then is a direct sum of total matric algebras whose blocks are in natural bijection with and of the same dimensions as those of We prove this for using the natural representation of its Hecke algebra by quantum Yang-Baxter matrices to show that over localized at the multiplicatively closed set generated by and all , the Hecke algebra becomes a direct sum of total matric algebras. The corresponding ``canonical" primitive idempotents are distinct from Wenzl's and in the classical case (), from those of Young.
2.
Steven P. Lalley 《Transactions of the American Mathematical Society》1997,349(11):4355-4365
An algorithm is given for computing the Hausdorff dimension of the set(s) of real numbers with representations , where each , a finite set of ``digits', and is a Pisot number. The Hausdorff dimension is shown to be , where is the top eigenvalue of a finite 0-1 matrix , and a simple algorithm for generating from the data is given.
3.
Robert D. Thompson 《Transactions of the American Mathematical Society》1998,350(5):1931-1944
In this paper we analyze the localization of , the fiber of the double suspension map , with respect to . If four cells at the bottom of , the th extended power spectrum of the Moore spectrum, are collapsed to a point, then one obtains a spectrum . Let be the James-Hopf map followed by the collapse map. Then we show that the secondary suspension map has a lifting to the fiber of and this lifting is shown to be a -periodic equivalence, hence an -equivalence.
4.
Akira Masuoka 《Proceedings of the American Mathematical Society》1996,124(3):735-737
We give an algebraic version of a result of G. I. Kac, showing that a semisimple Hopf algebra of dimension , where is a prime and , over an algebraically closed field of characteristic 0 contains a non-trivial central group-like. As an application we prove that, if , is isomorphic to a group algebra.
5.
Wang Yanying Wu Zhende Ma Kai 《Proceedings of the American Mathematical Society》2000,128(5):1515-1521
The groups of cobordism classes in the unoriented cobordism group containing a representative admitting a -action with fixed point set of constant codimension are determined.
6.
Zoran Spasojevic 《Proceedings of the American Mathematical Society》1996,124(12):3857-3865
For a partial order , let denote the statement that for every -increasing -sequence there is a -decreasing -sequence on top of such that is an -gap in . The main result of this paper is that . It is also shown, as a corollary, that but .
7.
Brian Harbourne 《Proceedings of the American Mathematical Society》1996,124(3):727-733
The main but not all of the results in this paper concern rational surfaces for which the self-intersection of the anticanonical class is positive. In particular, it is shown that no superabundant numerically effective divisor classes occur on any smooth rational projective surface with . As an application, it follows that any 8 or fewer (possibly infinitely near) points in the projective plane are in good position. This is not true for 9 points, and a characterization of the good position locus in this case is also given. Moreover, these results are put into the context of conjectures for generic blowings up of . All results are proven over an algebraically closed field of arbitrary characteristic.
8.
Oliver Baues 《Transactions of the American Mathematical Society》1999,351(7):2979-2996
We study the classification problem for left-symmetric algebras with commutation Lie algebra in characteristic . The problem is equivalent to the classification of étale affine representations of . Algebraic invariant theory is used to characterize those modules for the algebraic group which belong to affine étale representations of . From the classification of these modules we obtain the solution of the classification problem for . As another application of our approach, we exhibit left-symmetric algebra structures on certain reductive Lie algebras with a one-dimensional center and a non-simple semisimple ideal.
9.
We characterize weak compactness and weak conditional compactness of subsets of in terms of regular methods of summability. We also study when these results still hold using only convergence in the sense of Cesàro.
10.
Gerard Misiolek 《Proceedings of the American Mathematical Society》1996,124(3):977-982
An example of a geodesic in with conjugate points is given, thus providing an affirmative answer to a question of V.I. Arnold.
11.
Ha Huy Khoai 《Proceedings of the American Mathematical Society》1997,125(12):3527-3532
We show a class of perturbations of the Fermat hypersurface such that any holomorphic curve from into is degenerate. Applying this result, we give explicit examples of hyperbolic surfaces in of arbitrary degree , and of curves of arbitrary degree in with hyperbolic complements.
12.
Christopher J. Bishop 《Proceedings of the American Mathematical Society》1996,124(9):2695-2701
We show that a function on the unit disk extends continuously to , the maximal ideal space of iff it is uniformly continuous (in the hyperbolic metric) and close to constant on the complementary components of some Carleson contour.
13.
Masayoshi Hata 《Transactions of the American Mathematical Society》1998,350(6):2311-2327
We shall show that the numbers and
are linearly independent over for any natural number . The key is to construct explicit Padé-type approximations using Legendre-type polynomials.
are linearly independent over for any natural number . The key is to construct explicit Padé-type approximations using Legendre-type polynomials.
14.
Yoshiaki Fukuma 《Transactions of the American Mathematical Society》1996,348(10):4185-4197
Let be a smooth projective surface over and an ample Cartier divisor on . If the Kodaira dimension or , the author proved , where . If , then the author studied with . In this paper, we study the polarized surface with , , and .
15.
Roger C. Alperin 《Proceedings of the American Mathematical Society》1996,124(10):2935-2941
We classify the normal subgroups of of index less than 960; they are all congruence subgroups.
16.
Manuel Gonzá lez Joaquí n M. Gutié rrez José G. Llavona 《Proceedings of the American Mathematical Society》1997,125(5):1349-1353
A mapping between Banach spaces is said to be polynomially continuous if its restriction to any bounded set is uniformly continuous for the weak polynomial topology. A Banach space has property (RP) if given two bounded sequences , we have that for every polynomial on whenever for every polynomial on ; i.e., the restriction of every polynomial on to each bounded set is uniformly sequentially continuous for the weak polynomial topology. We show that property (RP) does not imply that every scalar valued polynomial on must be polynomially continuous.
17.
Charles H. Jepsen. 《Mathematics of Computation》1996,65(214):771-778
We determine all simple perfect dissections of rectangles into at most twelve rectangular elements. A computer search shows there are only eight such dissections, two of order 10, three of order 11, and three of order 12.
18.
V. M. Petrogradsky 《Proceedings of the American Mathematical Society》1997,125(3):649-656
In a recent paper an author has suggested a series of dimensions which include as first terms dimension of a vector space, Gelfand-Kirillov dimenision and superdimension. In terms of these dimensions the growth of free polynilpotent finitely generated Lie algebras has been specified. All these dimensions are integers. In this paper we study for all levels what numbers can be a -dimension of some Lie (associative) algebra.
19.
Michael J. Puls 《Proceedings of the American Mathematical Society》1998,126(3):721-728
Let be a discrete group, the group ring of over and the Lebesgue space of with respect to Haar measure. It is known that if is torsion free elementary amenable, and , then . We will give a sufficient condition for this to be true when , and in the case we will give sufficient conditions for this to be false when .
20.
Meng-Kiat Chuah 《Transactions of the American Mathematical Society》1997,349(8):3373-3390
Let be a compact connected semi-simple Lie group, let , and let be an Iwasawa decomposition. To a given -invariant Kaehler structure on , there corresponds a pre-quantum line bundle on . Following a suggestion of A.S. Schwarz, in a joint paper with V. Guillemin, we studied its holomorphic sections as a -representation space. We defined a -invariant -structure on , and let denote the space of square-integrable holomorphic sections. Then is a unitary -representation space, but not all unitary irreducible -representations occur as subrepresentations of . This paper serves as a continuation of that work, by generalizing the space considered. Let be a Borel subgroup containing , with commutator subgroup . Instead of working with , we consider , for all parabolic subgroups containing . We carry out a similar construction, and recover in the unitary irreducible -representations previously missing. As a result, we use these holomorphic sections to construct a model for : a unitary -representation in which every irreducible -representation occurs with multiplicity one.