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LSpice
LSpice
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This question is answered for a large number of reductive groups (including the symplectic) in a paper by P. Delorme and V. Sécherre (e.g. Math Arxiv, An"An analogue of the Cartan decomposition for p-adic reductive symmetric spacesspaces" (arXiv, MSN, published).

This question is answered for a large number of reductive groups (including the symplectic) in a paper by P. Delorme and V. Sécherre (e.g. Math Arxiv, An analogue of the Cartan decomposition for p-adic reductive symmetric spaces).

This question is answered for a large number of reductive groups (including the symplectic) in P. Delorme and V. Sécherre, "An analogue of the Cartan decomposition for p-adic reductive symmetric spaces" (arXiv, MSN, published).

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Paul Broussous
Paul Broussous
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This question is answered for a large number of reductive groups (including the symplectic) in a paper by P. Delorme and V. Sécherre (e.g. Math Arxiv, An analogue of the Cartan decomposition for p-adic reductive symmetric spaces).