50

Answers

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9

Tightening Zhang’s bound

1

Inversion of complex matrix

1

Invariant subbundles of tangent bundle of flag variety

3

Exceptional Schur-Weyl Duality

1

Irreducible representation decomposition of tensor on manifold with metric

1

Jets of Equivariant Vector Bundles

5

Curvature of the Cayley projective plane

2

What does the adjective “natural” actually mean?

3

Basic software libraries for numerical analysis using modern programming languages?

4

Jordan algebra and quaternionic projective space

3

Examples of theorems with proofs that have dramatically improved over time

2

Type of 26-dimensional representation of different real forms of the complex simple Lie algebra $F_4$

3

Peter-Weyl theorem as proven in Cartier’s Primer

0

Why are so few operations with arity bigger than 2?

1

Decompose tensor product of type $G_2$ Lie algebras.

2

Book recommendation for ergodic theory and/or topological dynamics?

1

Conformal transformations and harmonic analysis on the sphere

1

Orthogonal polynomials/functions on the interval [0,1] but with same weight as Gegenbauer polynomials

3

Volume change under linear transformation

6

Is there an explicit construction of a free coalgebra?

0

conformal diffeomorphism of sphere

2

BGG resolution and representations of parabolic subalgebras

3

Software for Computing Baker-Campbell-Hausdorff

5

What is a complex inner product space “really”?

0

Is this expression valid or how can I improve this expression?

1

Is the Lie algebra-valued curvature two-form on a principal bundle P the curvature of a vector bundle over P?

14

What could be some potentially useful mathematical databases?

1

Generalized Gauss-Green theorem

3

Generator of translation for the hyperbolic plane?

2

Classical geometric interpretation of spinors