Tag: lie-groups

94 Homotopy groups of Lie groups 2009-12-15T05:04:42.120

90 Has the Lie group E8 really been detected experimentally? 2010-07-17T21:34:07.500

89 why study Lie algebras? 2011-03-17T00:24:39.930

65 What would you want on a Lie theory cheat poster? 2011-04-26T13:57:08.153

56 Surprisingly short or elegant proofs using Lie theory 2017-04-04T19:22:45.497

55 What is the symbol of a differential operator? 2009-10-30T22:12:06.547

55 Example of a manifold which is not a homogeneous space of any Lie group 2012-02-24T00:11:59.630

51 Origin of terms "flag", "flag manifold", "flag variety"? 2011-03-13T15:02:26.603

48 $H^4(BG,\mathbb Z)$ torsion free for $G$ a connected Lie group 2014-09-05T15:42:00.753

44 Beautiful descriptions of exceptional groups 2012-06-15T19:00:07.217

38 Why the Killing form? 2010-07-19T23:03:32.723

32 Is every finite-dimensional Lie algebra the Lie algebra of an algebraic group? 2009-10-05T19:48:00.190

32 What is the classifying space of "G-bundles with connections" 2010-02-17T21:05:16.527

32 $G_2$ and Geometry 2010-12-14T05:48:03.837

32 Is there a geometric construction of hyperbolic Kac-Moody groups? 2016-03-04T16:48:56.607

29 "Modern" proof for the Baker-Campbell-Hausdorff formula 2012-06-10T11:14:03.417

28 Classification of (compact) Lie groups 2009-11-19T09:16:12.050

27 What's the supersymmetric analogue of the Monster group? 2016-05-20T19:09:33.907

26 Examples of applications of the Borel-Weil-Bott theorem? 2009-10-26T04:45:18.960

26 Why is Lie's Third Theorem difficult? 2009-12-13T19:31:56.677

26 In any Lie group with finitely many connected components, does there exist a finite subgroup which meets every component? 2013-12-05T18:36:33.020

26 Why do the adjoint representations of three exceptional groups have the same first eight moments? 2016-02-20T15:10:05.433

25 Cohomology of Lie groups and Lie algebras 2010-01-13T22:17:32.740

25 Isometry group of a homogeneous space 2011-09-18T12:25:43.957

25 Simple discrete subgroups of Lie groups 2012-03-02T17:12:22.223

24 Learning about Lie groups 2009-09-28T19:41:13.933

24 Is there a Morse theory proof of the Bruhat decomposition? 2010-06-17T21:11:24.227

24 Rep Theory Consequences of Bott--Weil--Borel 2013-02-06T16:18:48.213

23 Monotone functions are differentiable a.e. and Hilbert's Fifth Problem: what's the connection? 2010-11-01T18:26:42.517

23 Examples of Kan extensions, adjunctions, and (co)monads in analysis, Lie theory, and differential geometry? 2015-01-22T02:46:59.400

23 Intuition for symplectic groups 2017-08-13T13:54:54.160

22 The non-simplicity of $SO(4)$ and $A_4$ 2013-10-16T19:38:43.720

22 Does $E_8$ know $Spin(7)$? 2016-04-29T16:12:05.720

21 Geometric interpretation of exceptional Symmetric spaces 2010-08-19T13:20:51.250

21 When is a finite dimensional real or complex Lie Group not a matrix group 2011-05-07T14:02:23.740

21 Triality of Spin(8) 2012-12-18T00:11:25.647

21 Geodesics in finite groups 2014-10-16T16:09:56.733

21 Technical issue in the approach to Lie groups taken in a book 2016-01-26T21:15:45.623

20 Is SL(2,C)/SL(2,Z) a quasi-projective variety? 2012-08-28T20:27:22.773

20 Real Lie groups versus real linear algebraic groups: differences in connexity and fundamental group 2014-05-22T16:58:23.607

20 Automorphism group of real orthogonal Lie groups 2016-04-09T12:43:40.137

19 Explanation for E_8's torsion 2009-11-01T20:06:22.280

19 Why do flag manifolds, in the P(V_rho) embedding, look like products of P^1s? 2010-02-09T14:57:28.807

19 Is every topological (resp. Lie-) group the isometrygroup of a metric space (resp. Riemannian manifold)? 2013-03-07T17:31:23.753

19 What is the status of the Friedlander-Milnor conjecture today? 2014-04-13T01:21:03.713

19 What's the relationship between these two isomorphisms involving G and T? 2014-05-20T04:49:19.210

19 Solving equations in SO(3) : an open problem by Jan Mycielski 2016-01-27T04:58:08.347

18 Definitions of real reductive groups 2010-06-20T15:06:43.457

18 Word maps on compact Lie groups 2010-11-09T20:22:55.457

18 Should the Dynkin diagrams of types $A_1$ and $B_2$ be labelled $C_1$ and $C_2$? 2011-01-17T14:50:22.580

18 Is there a 'nice' interpretation of virtual representations? 2011-02-21T17:29:35.387

18 On a drawing in Dixmier's Enveloping Algebras 2015-03-23T16:20:41.833

17 The invariant 3-form on a compact Lie group 2010-06-23T07:33:07.280

17 Textbook or lecture notes in topological K-Theory 2010-07-16T16:09:10.023

17 What is the Hopf algebra structures in the homology of the based loop spaces of $E_7$ and $E_8$? 2010-08-06T11:31:14.747

17 homotopy type of connected Lie groups 2011-01-24T16:49:45.873

17 What groups are Lie groups? 2011-05-01T19:30:02.907

17 Conjugate points in Lie groups with left-invariant metrics 2011-06-04T23:44:32.540

17 Is there "Schur-Weyl duality" for infinite dimensional unitary group? 2012-03-02T01:17:40.150

17 Spin group as an automorphism group 2013-07-29T13:21:05.023

17 Is the Duflo polynomial conjecture open? 2014-07-16T09:03:08.287

17 How bad can $\pi_1$ of a linear group orbit be? 2015-05-14T22:15:08.313

17 When can a finite subgroup of $GL(2n,\mathbb{R})$ be viewed as a subgroup of $GL(n,\mathbb{C})$? 2016-07-08T22:08:42.143

16 Is a quotient of a reductive group reductive? 2009-09-28T17:42:23.207

16 Matrix representation for $F_4$ 2010-02-26T04:07:34.233

16 How do I stop worrying about root systems and decomposition theorems (for reductive groups)? 2010-10-20T20:48:28.903

16 Which groups have only real and quaternionic irreducible representations? 2010-11-27T08:55:35.773

16 Which norms have rich isometry groups? 2011-05-10T01:07:06.470

16 Why is there a unique hyperbolic simplex of largest area? 2011-12-29T16:57:35.203

16 Where did Sophus Lie write the group commutator for two one parameter groups 2013-06-19T11:56:59.627

16 How come Cartan did not notice the close relationship between symmetric spaces and isoparametric hypersurfaces? 2014-02-09T13:45:09.620

16 Weyl group actions on 0-weight spaces 2014-10-30T17:06:29.690

16 Is there a formula for the Frobenius-Schur indicator of a rep of a Lie group? 2016-01-07T11:00:03.163

16 Can an analytic function defined on a maximal torus be extended analytically to all the Lie group? 2016-09-04T13:53:18.700

16 Why does the proof of Myers and Steenrod fail in the Lorentzian case? 2016-10-22T13:48:15.880

16 Integral cohomology of $SU(n)$ - looking for constants 2017-06-10T15:04:16.547

16 Can a sphere glued into a soft 3d-mattress rotate continuously? (manifolds, SU(2) and the belt trick) 2017-09-24T10:52:17.453

15 Curvature of a Lie group 2010-07-09T14:56:20.170

15 Modern reference for maximal connected subgroups of compact Lie groups 2011-04-01T19:42:17.397

15 cohomology of BG, G compact Lie group 2011-04-15T05:29:29.920

15 Maximal Tori and group structures on spheres 2011-12-28T22:19:02.103

15 When are all centralizers in a Lie group connected? 2012-03-25T08:38:52.557

15 Is SO(2n+1)/U(n) a symmetric space? 2016-06-20T20:08:25.550

15 References for Langlands classification 2017-11-02T13:38:52.960

14 How to compute the (co)homology of orbit spaces (when the action is not free)? 2009-10-18T21:34:45.037

14 Restriction from $GL_n$ to $S_n$ 2009-11-11T15:54:02.843

14 Is every finite-dimensional Lie algebra the Lie algebra of a closed linear Lie group? 2009-12-01T23:43:20.270

14 Group Structure on CP^infinty 2010-01-21T00:27:37.907

14 Understanding moment maps and Lie brackets 2010-02-06T20:03:23.447

14 Is there an analogue of the Hive model for Littlewood-Richardson coefficients of types $B$, $C$ and $D$? 2010-07-28T21:01:53.033

14 Is a smooth action of a semi-simple Lie group linearizable near a staionary point? 2010-12-03T19:45:13.870

14 Borel set plus a closed set = Borel 2010-12-07T16:03:05.553

14 Does every irreducible representation of a compact group occur in tensor products of a faithful representation and its dual? 2011-03-16T13:16:49.413

14 There is no lattice in PSL(2,R) which contains PSL(2,Z) properly? 2011-04-05T07:08:37.923

14 Representing a product of matrix exponentials as the exponential of a sum 2011-12-04T13:34:22.090

14 How does duality of symmetric spaces explain the hyperbolic cosine theorem? 2012-01-20T00:11:43.310

14 Proof for which primes H*G has torsion 2012-06-14T02:16:35.763

14 Exotic smooth structures on Lie groups? 2015-12-11T23:20:09.077

14 Integral cohomology of $G/N(T)$ 2016-05-18T08:43:21.197