# symmetric spaces

### SYMMETRIC SPACES AND THE KASHIWARA-VERGNE METHOD

**symmetric**

**spaces**, called here « special» , for which the method applies in the same way as for Lie ...general

**spaces**, one needs to introduce a real- valued function e(X; Y ) of two tangent ...

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### The First Eigenvalue of the Dirac Operator on Compact Outer Spin Symmetric Spaces

**SYMMETRIC**

**SPACES**JEAN-LOUIS MILHORAT ...spin

**symmetric**

**spaces**, providing, for sym- metric

**spaces**of “inner” type, a formula giving this first eigenvalue in terms of the algebraic ...

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### Boundary maps and maximal representations on infinite dimensional Hermitian symmetric spaces

**SYMMETRIC**

**SPACES**BRUNO DUCHESNE, JEAN LÉCUREUX, AND MARIA BEATRICE POZZETTI A BSTRACT ...Hermitian

**symmetric**

**spaces**, which allows us to define maximal ...Hermitian

**symmetric**...

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### The First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces

**symmetric**

**spaces**provide examples where detailed infor- mation on the spectrum of Laplace or Dirac operators can be obtained. Indeed, for those manifolds, the ...

9

### Positively curved Riemannian locally symmetric spaces are positively squared distance curved

**spaces**are positively squared distance curved Philippe Delano¨ e † and Fran¸cois Rouvi` ere Abstract The squared distance curvature is a kind of two-point curvature the sign of which turned out crucial for the ...

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### Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces

**symmetric**strictly pseudoconvex CR manifold then M = G/K where G is the closed subgroup of P sH(M, θ) generated by all the pseudo-Hermitian symmetries ψ(x0), x0 ∈ M, and K is the isotropy subgroup at a base ...

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### Wrapped statistical models on manifolds: motivations, the case SE(n), and generalization to symmetric spaces

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### Parallel Transport with Pole Ladder: a Third Order Scheme in Affine Connection Spaces which is Exact in Affine Symmetric Spaces

**spaces**to establish in Section 1 the approximation provided by one step of the pole ladder up to order ...locally

**symmetric**space, this suggests that the error could vanish in this ...global ...

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### A formula for the First Eigenvalue of the Dirac Operator on Compact Spin Symmetric Spaces

**SYMMETRIC**

**SPACES**JEAN-LOUIS MILHORAT ...irreducible

**symmetric**space, endowed with the metric induced by the Killing form of G ...irreducible

**symmetric**

**spaces**endowed with a ...

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### Bézier curves and C2 interpolation in Riemannian Symmetric Spaces

**symmetric**

**spaces**: the special orthogonal group SO(n). Indeed, working in such ...

9

### A Haar component for quantum limits on locally symmetric spaces

**symmetric**

**spaces**, based on Helgason’s version of the Fourier transform for this

**spaces**, and inspired by the work of Zelditch in the case of G = SL(2, R) ...

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### Local in Time Strichartz Estimates for the Dirac Equation on Spherically Symmetric Spaces

**symmetric**manifold relies on the fact that it is possible to decompose the Dirac operator (and analogously its flow) in a sum of ”radial” Dirac operators (see section 3 for details) and so, somehow, ...

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### On the Growth of L2-Invariants of Locally Symmetric Spaces, II: Exotic Invariant Random Subgroups in Rank One

**spaces**of IRSs in simple higher-rank Lie groups. On the other hand, if G is a group of real rank one then there are always more IRSs than those described in this theorem. ...

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### On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or Quaternion-Kähler structure

**spaces**. We consider a spin compact simply connected irreducible

**symmetric**space G/K of “type I”, where G is a simple compact and simply-connected Lie group and K is the connected subgroup formed by the ...

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### Convolution of orbital measures on symmetric spaces of type $C_p$ and $D_p$

**spaces**SO(p, q) with p < q (recall that the latter

**spaces**have a much richer root ...the

**spaces**SO(p, q) with p < q, the number of zeroes on the diagonal of D X is ...

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### Consensus on Nonlinear Spaces

**symmetric**

**spaces**like the ...nonlinear

**spaces**in such a way that they converge (almost) globally under the same assumptions as linear consensus algorithms, and several solutions were proposed on ...

11

### Kernel density estimation on spaces of Gaussian distributions and symmetric positive definite matrices

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### A geometric study of Wasserstein spaces: Hadamard spaces

**symmetric**

**spaces**. For example the hy- perbolic

**spaces**RH n , CH n , HH n and OH 2 are the only rank one

**symmetric**

**spaces**of non-compact ...

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### Skew-Symmetric Tensor Decomposition

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### Matriochka symmetric Boolean functions

**symmetric**Boolean functions. They deserve ﬁrstly attention in cryptography since they guarantee that no input variables has greater or lesser signiﬁcance ...

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